The Portugal forward joined Al Nassr on December 30 after his acrimonious departure from Manchester United, signing a two-and-a-half-year contract reportedly worth around €200million (£177m) per year.
Reports suggested Ronaldo's agreement included an additional bonus to act as an ambassador for Saudi Arabia's World Cup bid, with the Middle East aiming to host another tournament after Qatar 2022.
Al Nassr strongly denied claims Ronaldo had been offered a financial incentive to secure FIFA's top tournament, with Spain, Ukraine and his home country Portugal among the others to make a joint bid to host.
"Al Nassr FC would like to clarify that contrary to news reports, Cristiano Ronaldo's contract with Al Nassr does not entail commitments to any World Cup bids," a statement read.
"His main focus is on Al Nassr and to work with his team-mates to help the club achieve success."
Ronaldo is yet to make his debut for Al Nassr after missing Friday's clash with Al Tai as he served the first part of a two-match ban from the English Football Association.
The former Real Madrid and Manchester United forward had his treble by half-time, following up his four-goal haul two weeks previously against Al Wehda.
Ronaldo's first against Damak was an 18th-minute penalty, awarded after a handball by Farouk Chafai, while his second was a fierce left-footed strike from 20 yards five minutes later as defenders stood off.
The hat-trick was sealed in the 44th minute after a fast break out of defence, with Abdulrahman Ghareeb driving down the left before feeding a pass through to Ayman Yahya.
Yahya might have shot but elected to lay the ball off for 38-year-old Ronaldo to smash home from 10 yards.
Ronaldo hit 44 hat-tricks in his legendary Madrid career, becoming the Spanish giants' record scorer, while he also netted three across two spells with United, and added three trebles during a three-year stint at Juventus.
Given his impeccable commitment to athleticism, Ronaldo might not have dug into the cake he was presented with on Friday.
Al Nassr were celebrating the 38-year-old becoming the most-capped men's player of all time.
Ronaldo made his 197th appearance for Portugal on March 23, scoring twice in a 4-0 defeat of Liechtenstein.
Along with marking that achievement, Al Nassr also celebrated Abdulrahman Ghareeb's 25th birthday.
"Today, we celebrate a record and birthday," the club tweeted. "The record of most capped player in international football [and] the birthday of a talented Saudi player."
Having seen his Manchester United contract terminated in November after criticising the club in an inflammatory interview with Piers Morgan, Ronaldo sealed his move to Al Nassr last week.
His decision to join the Riyadh-based side has surprised many, with it coming just a few months after Ronaldo attempted to leave United in search of Champions League football.
However, the 37-year-old believes he has nothing left to prove in European football, claiming he turned down proposals from several clubs to sign his two-and-a-half-year deal with Al Nassr.
"I'm so proud to make this big decision in my life and in football," Ronaldo said at his unveiling on Tuesday.
"In Europe, my work is done. I won everything and played for the most important clubs in Europe.
"This is a great opportunity for me, not only in football but to change the mentality of the new generation in Saudi Arabia.
"I had many opportunities in Europe, in Brazil, in the United States and even in Portugal, but I gave my word to this club, for the opportunity to develop football in this amazing country."
Ronaldo's conduct during his second stint at United was widely criticised, while he was relegated to the role of substitute for Portugal's two knockout games at the World Cup.
However, the forward sees playing in the Saudi Pro League as a genuine challenge, hitting back at those who have questioned the motives behind his move.
"Many people speak and give their opinions, but really they know nothing about football," Ronaldo said.
"If you give the example of the World Cup, the only team who beat the champions [Argentina] was Saudi Arabia, don't forget that.
"For me, it's not the end of my career. I wanted to change and I don't worry about what people say. I took my decision and I have responsibility for it.
"I'm happy to be here and I know the league is really competitive, I saw many games. I'm ready to play tomorrow [against Al Ta'ee] if the coach thinks it's good!
"I beat all records in Europe, so I want to beat all records here. This contract is unique, because I'm a unique player. So for me, this is normal.
"I'm coming here to win, to play, to enjoy, to be part of the success of the country and the culture of the country. What I want is to enjoy, to smile and to play football."
A move to Al Nassr for Ronaldo after the World Cup came after a turbulent period for the 37-year-old saw him released by Manchester United and then dropped by Fernando Santos during Portugal's campaign in Qatar.
Now in Saudi Arabia, it has not been clear whether the 196-cap forward's time on the international stage would end at the start of a new era under Martinez.
However, speaking at his unveiling on Monday, the former Belgium boss confirmed he will talk to Ronaldo, and other players, before making decisions on the squad.
"Decisions have to be made on the pitch. I won't rush into decisions. I want to meet everyone, and from today I want to talk and meet all the players," he said at a press conference.
"Cristiano is part of that list. He's had 19 years in the national team and deserves respect, let's talk. From there, it's up to me to make the best list for the European Championships.
"Tomorrow we will start working to meet all the players, and Cristiano is one of them.
"We will start a football process to try to get to know all the players who will be able to join this team. We will give a chance to all players and respect all who are already in the team.
"I'm delighted to have them by my side. It's a process that we have to face naturally, responsibly, and we're going to make important decisions for the team."
Portugal begin their qualification campaign for Euro 2024 in March against Liechtenstein and Luxembourg.
Ronaldo signed a two-and-a-half-year contract with Saudi Pro League leaders Al Nassr last week, having spent over a month as a free agent after leaving Manchester United.
At his unveiling in Riyadh on Tuesday, Ronaldo declared he had nothing left to prove in Europe and insisted the move did not represent the end of his distinguished career.
The five-time Ballon d'Or winner may well have appeared in the Champions League for the final time, but he claims to have a fresh set of aims in Saudi Arabia – including contributing to the development of women's football in the country.
"It's a new challenge and I'm so glad that Al Nassr has given me this opportunity to develop, not only in football, but also for the young generations, and for women as well," said Ronaldo.
"Many people probably don't know, but Al Nassr has a women's football team as well. Women's football is very competitive here.
"I know what I want, and I know, of course, what I don't want as well. It's a good chance to change, to help with my knowledge and my experience to grow many, many important things.
"I want to give a different vision of the country from the footballing perspective of everybody. This is why I took this opportunity."
While Ronaldo – who could make his Al Nassr debut against Al Ta'ee on Thursday – will undoubtedly be the most high-profile star to have featured in the Saudi Pro League, club president Musalli Al-Muammar insists he will be treated differently to other players.
"During the negotiations, Cristiano made it clear that he wants to be treated like the rest of our players," he said. "He doesn't want special treatment.
"Ronaldo is the greatest player ever. We hope players learn from him and replicate his attitude."
Head coach Rudi Garcia, meanwhile, is not expecting any issues as he integrates Ronaldo into his squad.
"Ronaldo is one of the best ever. It's an honour for me and for Al Nassr to have him here," Garcia said.
"It's fantastic for the league and for the country to have Ronaldo here.
"He will be the easiest player to train. There's nothing to teach him. My goal is to make Ronaldo happy."
Following a suspension, Ronaldo made his Al Nassr debut on Sunday against Al Ittifaq, captaining his new side.
The first match of his highly lucrative contract in Saudi Arabia ended in a 1-0 victory, but Ronaldo was not the goal hero.
Talisca, the Brazilian former Benfica and Besiktas forward, headed the only goal before celebrating with the new boy.
Ronaldo appeared to be sporting a black eye, having received a blow to the face in a challenge with Keylor Navas during this week's exhibition between a Riyadh All-Stars team and Paris Saint-Germain.
Victory in Ronaldo's bow ensured Al Nassr finished the weekend ahead of Al Hilal, having been briefly knocked off top spot by their rivals earlier on Sunday.
The Portugal forward, who made the move to the competition following his exit from Manchester United in November, made a quiet start to life with the club in January.
But following his first full month with Rudi Garcia's side, in which he scored two hat-tricks and totalled eight goals in four appearances, he looks to have fully settled into life with them.
Ahead of Al Nassr's 3-1 win against Al Batin on Friday, Ronaldo was presented with the monthly award, and promised it would not be the last one he claimed on social media.
"Happy to win the February Player of the Month Award for the Saudi League," he wrote. "Hopefully the first of many! Proud to be part of this team."
Ronaldo's first strike for the club came with a point-clinching penalty in a dramatic 2-2 draw against Al Fateh on February 3, before he scored all four goals in their 4-0 win over Al Wehda six days later.
Though he drew a blank in their 2-1 win over Al Taawoun, he set up both of his side's goals, supplying assists for Abdulrahman Ghareeb and Abdullah Madu on February 17.
The 38-year-old capped his excellent month with another hat-trick, this time in a 3-0 victory against Damac on February 25, to help keep Al Nassr in the thick of the title race.
It was confirmed this week that the Saudi champions will feature in the Club World Cup later this year as the host nation representative.
Ronaldo will surely be desperate to feature in FIFA's flagship club competition and the five-time Ballon d'Or winner followed up his four-goal showing against Al Wehda with another match-winning turn on Friday.
Having teed up Abdulrahman Ghareeb's 17th-minute opener, Ronaldo supplied his second assist of the game to set up Abdullah Madu for Al Nassr's winner with 12 minutes of normal time remaining.
Ronaldo's first assist was a wonderful, first-time, sweeping pass into the path of Ghareeb, who still had work to do to shrug off his marker and beat Al Taawoun's goalkeeper.
The 38-year-old Ronaldo might not have known too much about his touch for the winner as he, perhaps unintentionally, cushioned a team-mate's shot back for Madu to drill into a gaping net, with the VAR awarding the goal after Ronaldo was initially flagged for offside.
The victory took Al Nassr back above Al Ittihad on goal difference.
"Top of the league and three important points," Ronaldo tweeted after the match. "Great team work!"
Ronaldo signed a two-and-a-half-year deal with Saudi Pro League leaders Al Nassr last week after his Manchester United contract was mutually terminated in November following a controversial interview with Piers Morgan.
The five-time Ballon d'Or winner was unveiled in Riyadh on Tuesday, stating he hoped to positively change the perceptions of Saudi Arabian football.
But Amnesty International, a global organisation that campaigns against human rights abuse, is hoping he uses his huge celebrity status to highlight off-field matters in Saudi Arabia.
In a statement, Amnesty International's Middle East researcher Dana Ahmed said: "Al-Nassr's signing of Cristiano Ronaldo fits into a wider pattern of sportswashing in Saudi Arabia.
"It is highly likely that the Saudi authorities will promote Ronaldo's presence in the country as a means of distracting from the country's appalling human rights record.
"Instead of offering uncritical praise of Saudi Arabia, Ronaldo should use his considerable public platform to draw attention to human rights issues in the country.
"Saudi Arabia regularly executes people for crimes including murder, rape and drug smuggling.
"The authorities are also continuing their crackdown on freedom of expression and association, with heavy prison sentences handed down to human rights defenders, women's rights activists and other political activists.
"Cristiano Ronaldo shouldn't allow his fame and celebrity status to become a tool of Saudi sportswashing – he should use his time at Al-Nassr to speak out about the myriad human rights issues in the country."
Al Nassr had not lost any of their five league games since Ronaldo's debut on February 3, drawing his first match before racking up four successive wins.
But that run came to an end against their title rivals at the King Abdullah Sports City in Jeddah.
Romarinho got the only goal of the game in the 80th minute, rounding off a devastating counter-attack.
The forward brilliantly brought down Ahmed Sharahili's right-wing delivery on the edge of the box, his first touch taking a defender out of the game before a cool finish sparked jubilant celebrations.
Al Nassr coach Rudi Garcia tried to focus on the positives, however.
"We are disappointed because we did not deserve to lose," he said
"Al Ittihad scored a goal the way they like, on the counter-attack. The league is still long. We are now behind Al Ittihad by a point.
"I am happy with my team. We played in a difficult stadium in front of a strong audience, and yet we played with a wonderful personality."
The Portugal captain, who joined Rudi Garcia's side on a free transfer after his acrimonious Manchester United departure, netted all four goals as his new club moved top of the Saudi Pro League on goal difference.
Fresh from opening his account for Al Nassr in their 2-2 draw with Al Fateh last time out, Ronaldo's milestone strike came in the 21st minute when he drilled a low shot past Abdulquddus Atiah.
He added a second to double the visitors' lead five minutes before half-time, latching onto a neat throughball before slotting home.
The former Real Madrid and Juventus forward completed his hat-trick from the penalty spot in the 53rd minute, before getting his fourth and rounding off a commanding victory just after the hour mark.
Ronaldo and Al Nassr are back in action a week on Friday, when they welcome to Al Taawoun to King Saud University Stadium.
Goals for Romarinho, Abderrazzaq Hamed Allah and Muhannad Al Shanqiti saw Al Ittihad, coached by former Wolves and Tottenham boss Nuno Espirito Santo, set up a showdown with Al-Fayha in Riyadh.
Ronaldo played the entire match on Thursday, coming close to an equaliser in the first half when he headed straight at Al Ittihad goalkeeper Marcelo Grohe.
Al Ittihad compounded his frustrations by racing down the other end to make it 2-0, though Talisca pulled one back for Al Nassr after the break.
Ronaldo drilled a free-kick just over prior to Talisca's strike, yet despite piling on the pressure, Al Nassr were opened up again late on, with Al Shanqiti sealing Al Ittihad's progression.
It means Ronaldo's wait for a first official goal in Saudi Arabia will stretch into a third match.
Five-time Ballon d'Or winner Ronaldo has signed a two-and-a-half-year contract, thought to be one of the most lucrative in football history, following his Manchester United exit.
The Portugal international has yet to make his debut due to a domestic suspension carried over from his time at United, but his impact is already being felt off the pitch.
And in the view of Garcia, the transfer is comparable to the late Pele's move to American club Cosmos in 1975 following a legendary spell with Santos.
"It's a bit like Pele's arrival, especially for the development of football, sport and culture in Saudi Arabia," Garcia was quoted as saying by L'Equipe.
"Cristiano Ronaldo is more than a player. He is one of the best players in the world.
"It's amazing how much it’s put a spotlight on our club. Now everyone knows where our club is around the world.
"We must have gone from 800,000 [Twitter followers] to 10 million in a few hours, or a few days, because of Cristiano's arrival."
Ronaldo missed Friday's 2-0 win over Al Tai and will also sit out Saturday's trip to Al Shabab due to a ban imposed for knocking a phone out of an Everton fan's hand last April.
He is eligible to make his Al Nassr debut against Al Ettifaq on January 22, but Garcia has confirmed Ronaldo may first feature in a prestige friendly against Paris Saint-Germain.
That could mean a clash between Ronaldo and Lionel Messi as PSG take on a Saudi All-Star XI made up of players from Al Nassr and Al Hilal, but Garcia is not entirely happy.
"His debut won't be with the Al Nassr jersey. It will be a mix between Al Hilal and Al Nassr," Garcia said.
"As the coach of Al Nassr, I cannot be pleased with this match. For development, to see PSG, to see the great Parisian players, indeed it is a good thing.
"But we have a championship game three days later. In terms of scheduling, it could have been better thought out. But it's not a big deal.
"We are in the lead, we are happy. It is a difficult championship to win, but we intend to do it."
Ronaldo struggled for playing time prior to his United exit and then lost his place in Portugal's starting line-up in their disappointing World Cup campaign.
Asked what he hopes to see from the 37-year-old when he belatedly makes his debut, Garcia said: "If he finds the pleasure of playing again, that will already be a goal achieved."
Ronaldo's side were 1-0 down and looked to be on their way to a first defeat in five matches against an Al Batin team sat bottom of the league and with just one win all season.
But Abdulrahman Ghareeb levelled in the 93rd minute, before Mohammed Al Fatil dramatically put Al Nassr ahead in the 12th minute of additional time.
The points were made safe two minutes later, as Ghareeb set up Mohammed Maran to add a third and move Al Nassr to the top of the table.
Despite his team's spectacular comeback, Ronaldo failed to register a goal involvement for the first time in five matches.
It was not for the want of trying though, as the five-time Ballon d'Or winner had a team-high seven shots, though he hit the target just once.
Ronaldo picked up the league's player of the month award before kick-off, after scoring eight goals and adding two assists during February as his team went unbeaten.
Ronaldo's side were 1-0 down and looked to be on their way to a first defeat in five matches against an Al Batin team sat bottom of the league and with just one win all season.
But Abdulrahman Ghareeb levelled in the 93rd minute, before Mohammed Al Fatil dramatically put Al Nassr ahead in the 12th minute of additional time.
The points were made safe two minutes later, as Ghareeb set up Mohammed Maran to add a third and move Al Nassr to the top of the table.
Despite his team's spectacular comeback, Ronaldo failed to register a goal involvement for the first time in five matches.
It was not for the want of trying though, as the five-time Ballon d'Or winner had a team-high seven shots, though he hit the target just once.
Ronaldo picked up the league's player of the month award before kick-off, after scoring eight goals and adding two assists during February as his team went unbeaten.
Ronaldo hammered home a free-kick from around 30 yards out in the 78th minute of Saturday's Saudi Pro League clash.
The 38-year-old picked out the bottom-left corner with his dipping effort, cancelling out Abdulfattah Adam's 26th-minute opener.
With Abha down to 10 men after Zakaria Al Sudani picked up his second booking, Talisca's penalty completed the turnaround, seeing Al Nassr beat the visitors for the second time in the space of four days after a victory in the Kings Cup in midweek.
Al Nassr are second in the Pro League, a point behind Al Ittihad, who they lost to on March 9.
"Great to get the win and so happy to score here in our stadium with our fans," Ronaldo posted on social media.
Roma head coach Jose Mourinho had been linked with a possible Ronaldo reunion, having coached the Portuguese at Real Madrid.
Spanish newspaper AS this week claimed Mourinho had been offered a two-year contract worth €100million.
For now at least, Al Nassr have put Jelicic in charge, promoting him from his position in charge of their under-19 team.
The Riyadh-based club said: "Al Nassr can announce that head coach Rudi Garcia has left the club by mutual agreement.
"The board and everyone at Al Nassr would like to thank Rudi and his staff for their dedicated work during the past 8 months.
"We can announce that our U19 coach, Mr Dinko Jelicic will be the new head coach for the first team. Good luck, Mr Dinko."
Frenchman Garcia was a Ligue 1 winner as head coach of Lille in 2010-11 and the 59-year-old has also bossed Roma, Marseille and Lyon.
He was appointed in late June last year and departs with Al Nassr sitting second in the Pro League with seven games remaining, three points behind leaders Al Ittihad, to whom they lost last month.
Ronaldo's arrival as a free agent after his release by Manchester United was announced in late December, and the 38-year-old superstar has drawn unprecedented attention to the league.
Real Madrid's record scorer spent three seasons playing under fellow Portuguese Mourinho at the Santiago Bernabeu from 2010 to 2013, and it remains to be seen whether they are reacquainted in the future.
Jelicic gets the chance to lead the team for now, and he may make the job his own.
Should Al Nassr fall short of overhauling Al Ittihad, however, they may have reason to think again, and it could prove less disruptive to prise away a top coach of Mourinho's ilk during the close season rather than at the business end.