Croatian playmaker Modric scooped France Football's prestigious prize for world player of the year after his dazzling performances at the 2018 World Cup.
He will turn 37 before the Qatar World Cup in November, but Modric's goal and overall display in the 2-0 win over Athletic Bilbao on Sunday showed he remains a force.
Thibaut Courtois saved a late penalty from Raul Garcia as Madrid made sure of a first trophy since Carlo Ancelotti returned to the club for a second spell as coach.
Asked about Courtois and Modric, Perez said after the game: "Without wanting to brag, they are the two best in their position. The best goalkeeper and Modric in enviable form, worthy of winning the Ballon d'Or again."
Modric's passing accuracy this season is an outstanding 90.41 per cent, and even in the opposition half it is 89.03 per cent, which are impressive numbers given he plays a lot of high-tariff balls.
He has created eight big chances for others this season already and has five assists, while the shot he sent arcing past Unai Simon in the 38th minute at the King Fahd Stadium gave Modric a first goal of the season. He took away the most valuable player award from Sunday's game.
Perez is still probably getting excited too soon, given the Ballon d'Or is an end-of-year prize, but Modric was excellent, and midfield colleague Toni Kroos had a 95 per cent accuracy rate from his game-high 100 passes, helping ensure Madrid had the game tied up before withstanding a late flurry of attacks from Athletic.
Former Barcelona captain Lionel Messi took the Ballon d'Or for a record seventh time last year, with even Robert Lewandowski's Bayern Munich goalscoring feats not enough to knock the Argentine great off his accustomed top spot in the vote.
Madrid should win more silverware this season. They lead LaLiga, have a Copa del Rey last-16 clash with Elche on Thursday, and remain in the Champions League, albeit with a tough tie against Paris Saint-Germain coming up next in that competition.
Perez enthused about the prospects for this Ancelotti stint, saying of Madrid's early success: "It means a lot."
Quoted in Marca, Perez said: "We always want to win everything, they taught us that since we were little. This year it was 60 years since I became a member, and that's how we were educated. I work along the lines that Santiago Bernabeu set for us, and I am happy because we have won the first title."
Courtois did not particularly guess right for Garcia's penalty, as much as guess late, meaning his outstretched leg could reach the ball down the middle as the rest of his body lurched to the right.
"I was hesitating between going to the right or staying in the middle," the Belgian goalkeeper told #Vamos, "and that's why I kept my foot there and I was able to stop it. If not, we would have had a heart-stopping final few minutes."
Perez's controversial remarks came from an audio recording in 2006 that was leaked on Tuesday and published in Spanish newspaper El Confidencial.
At that time Perez had just left his position as Madrid president and in the audio he appears to at least partially link the influence held by the two players to his exit.
He is reported to have opined Casillas was not good enough to play in goal for Madrid while questioning the huge influence held by Raul.
Perez, who returned as Madrid's president in 2009, reckoned his support of the European Super League was the motivation behind the leaked audio.
In a statement released by Real Madrid, Perez said: "Given the story in El Confidencial, in which comments are attributed to me, I think it's necessary to clarify.
"The comments were made in conversation with D. Jose Antonio [Abellan], who has been unsuccessfully trying to sell them for years. It's surprising that given the time that has passed, they have appeared today in the newspaper El Confidencial.
"The comments are taken out of the context in which they were made. That they are reproduced now, after so many years, I believe is due to my role as one of the promoters of the European Super League.
"I have placed the issue in the hands of my lawyers who are studying possible legal action."
Former striker Raul is Madrid's all-time record appearance holder with 741 and was their leading goalscorer with 323 until that total was eclipsed by Cristiano Ronaldo, who found the net 450 times for Los Blancos.
Raul is currently coach of Madrid's reserve team.
Ex-goalkeeper Casillas is just behind Raul with 725 appearances and won all the major club titles during a 25-year stint with Madrid.
The experienced Italian was a somewhat surprising choice by the Madrid hierarchy given his work at Everton was not exactly universally praised, with the Toffees finishing 10th in the Premier League in 2020-21.
He dramatically leapt to the front of the queue for the Madrid job despite Raul and Mauricio Pochettino appearing to be the most-likely options to replace Zinedine Zidane, who stepped down citing a lack of support from those in charge.
Ancelotti's hiring sees him return to the club that dismissed him back in 2015, though president Florentino Perez stressed at the time that their relationship was still strong on a personal level.
That has seemingly remained the case in the intervening years and Ancelotti is confident he is a wiser manager, having missed out on a LaLiga title during his previous two-year spell, though he did preside over Los Blancos’ 10th Champions League crown in 2014.
"I'm very happy to be back here," he told the club's official media channels. "I've got fantastic memories from my time here, we had a lot of success in the two years.
"It's very important because I'm coming back to my home. I'm really excited and I'm going to give all my energy to help Real Madrid get as high as possible.
"You have to try to improve every day. I've had positive experiences in Germany, Italy and England. Each experience makes you grow and I'm coming back with six more years of experience. I hope it'll be good for Real Madrid.
"I've got responsibility, hope and I'm going to work to the best of my ability. We know what Real Madrid's objectives are every year and we're going to try to meet them with all the experience and energy I can bring.
"I'm so happy to be back because I love this club. I'm very happy and it's hard to explain how I feel. Madrid is the most prestigious club in the world and a club where I really enjoyed the two years I was here. I've got unforgettable memories.
"I have to thank Everton, where I was very happy during the one-and-a-half years I was there. The atmosphere was positive and the people were hard-working.
"I'm back with more experience, I know Real Madrid very well, the squad and I've met some of the players in the past. We're going to do well."
There were periods during Zidane's two tenures where supporters voiced frustration at the style of play adopted by the Frenchman, with Madrid not always embracing the vibrant attacking football perhaps associated with the club in the past.
However, Ancelotti insists it is what he hopes to bring to the Santiago Bernabeu – indeed, his Madrid team led the way in LaLiga for goals scored in 2013-14 and 2014-15 – while he is also pledging to continue bringing through talented youngsters from the club's second team, Castilla.
"At this club we demand to play attacking, exciting, quality and intense football. It's the same way of playing and nothing has changed," he said.
"A coach alone can't win. The winning combination of coach, players and club is the way to succeed.
"I think experience is very important, but youth is also important because it brings a lot of energy and passion when doing things.
"When I was here the first time, four players came up from Castilla and this mix of youth and experience has brought us a lot of success in the past and also in the present."
