It was not even a show of modesty from Korda but a reflection of the sporting success his parents and siblings have achieved.
The 22-year-old American has had big wins before, yet his 7-6 (9-7) 6-3 7-6 (7-4) win against 2021 US Open champion Medvedev on Rod Laver Arena might go down as the best of the lot. It was his first win over a top-10 player in a grand slam and means Medvedev will slide out of that elite group at the end of the tournament.
Korda has made an outstanding start to the year, defeating Andy Murray and Jannik Sinner on his way to the Adelaide International 1 final, where he took a set off Novak Djokovic.
Now he is through to the fourth round of a major for a third second time after previous runs at the French Open and Wimbledon.
Reminded about his father Petr's Australian Open men's singles title in 1998, Korda stepped in to say: "Even better, though, my sisters won the Australian Open in women's golf."
LPGA Tour stars Jessica and Nelly Korda took that title in 2012 and 2019, respectively, on the way to being recognised among the biggest stars in their sport.
Mother Regina was also an established tennis player on the WTA circuit in the 1980s and early 1990s.
"I don't know what I'm going to be ranked. My mum's career-high was number 24, my dad was two," Korda said.
"Nelly, my sister was number one, my older sister Jessica was six, so I'm definitely the worst athlete in the family so far."
As it stands, Korda has moved to 28th on the provisional ATP rankings by coming through three rounds.
He won the Australian Open boys' title in 2018 but now has bigger targets, with a fourth-round tussle against Hubert Hurkacz ahead of him.
Korda has Andre Agassi in his corner, albeit distantly. He has described the four-time Australian Open winner as a "mentor", and Las Vegas-based Agassi stayed up until the early hours at home to watch the Medvedev match.
"He texted me. He's going to bed now," Korda said after his late-night win in Melbourne.
"He's one of the most special people in my life. We started talking during COVID in 2020. He's been one of the biggest parts in my rise. Just overall as a tennis player, as a human being. We spend a lot of time together. He's very special to me."
Now 10th seed Hurkacz awaits, and Korda, seeded 29th, knows that will be a tricky assignment.
"We practise quite a bit," Korda said. "Usually whenever we practise, he actually wins the tournament. I always give him jokes about that. I'm looking forward to it. It's exciting, the fourth round of a grand slam. I'll be ready to go."
Can Korda win the Australian Open, just like his dad, and keep up the family tradition of outstanding results in the country?
"It's a special place for us," he said. "We've had some really great results. Hopefully I can do one better than the juniors and do it in the pros."
Djokovic took the title in Melbourne in 2019, 2020 and 2021 before he was denied entry last year and subsequently deported due to his COVID-19 vaccination status.
The 21-time grand slam champion is back this year and has continued his winning run, defeating Roberto Carballes Baena, Enzo Couacaud, Grigor Dimitrov, Alex de Minaur and, on Wednesday, Andrey Rublev.
That quarter-final success saw Djokovic match Andre Agassi for the longest Australian Open win streak in the Open Era.
Agassi won 26 in a row between 2000 and 2004, likewise winning three titles, missing one tournament and then reaching a semi-final before finally being beaten.
Djokovic will hope to avoid the same fate as he bids for the outright record against Tommy Paul in the semis, although he has never been beaten in a last-four match in Melbourne, winning the title on the previous nine occasions he reached this stage.
Those nine titles are a record for any man at the Australian Open and for Djokovic at any one major.
This is also now Djokovic's favourite grand slam in terms of match wins, with the 6-1 6-2 6-4 dismantling of Rublev his 87th victory in Melbourne. It passed his 86 wins at Wimbledon.
The last American to win the men's singles crown at any grand slam was Andy Roddick at the 2003 US Open.
The USA is still way out in front for all-time grand slam men's singles titles with 147, though 19 years and counting is comfortably their worst barren spell during the Open Era.
This comes after 2003 was the 15th year in a row that the USA had at least one champion in the men's majors, with the likes of Pete Sampras and Andre Agassi both prolific winners.
Of course, the drought did not extend to the women, with Serena Williams, Venus Williams, Sloane Stephens and Sofia Kenin all winning at least once since Roddick's success at Flushing Meadows.
But with eight of the last 32 in the men's draw representing the USA, there is a renewed sense of optimism – and that is even accounting for their highest seed, number eight Taylor Fritz, falling in the second round.
Gauff – who beat compatriot Bernarda Pera on Friday – is the USA's next great female hope, and she is looking forward to the day Americans claim a men's and women's double at the same slam.
Asked if there was a refreshing sense of excitement around the men, Gauff said: "Yeah, definitely. I definitely think on the men's side they're thriving.
"It's like eight people in the round of 32 I saw. I think it's incredible. It's just people that you've been rooting for for a long time, and some new faces, too, that people probably haven't been rooting for a long time but fell in love with.
"I'm just excited. On the women's side, we're always like, 'the guys need to catch up, you guys need to put in your work'. I think they're here. I'm hoping that eventually, hopefully soon, we'll have our slam champion on the men's side.
"That would be pretty cool if an American woman and guy could win the same slam. I don't know when the last time that's happened or if it's ever happened. I'll be pretty excited."
Coincidentally, it last happened at Melbourne Park. In 2003, Andre Agassi and Serena Williams were victorious at the Australian Open.
Gauff is not getting carried away, but her perception is there is genuine belief among the men now, which is being fed by unity.
"I definitely think the guys are feeling it," she said. "You can see it. I think it really comes from, not the women, but the same dynamic, where everybody is doing well, so it makes you want to do well.
"We're all not competing with each other but pushing each other. I think that's what the men are having.
"They're competing against each other but also pushing each other to be better. I'm pretty sure all the American guys get along, at least that's what I think."
There were setbacks to American men's title hopes on Friday as Frances Tiafoe and Mackenzie McDonald both lost at the last-32 stage, but there was a hugely notable win too, with Sebastian Korda beating seventh seed, two-time Australian Open runner-up and former US Open champion Daniil Medvedev in straight sets.
Federer beat Agassi in four sets in the final of the 2005 US Open – the sixth grand slam of a career tally that now stands at 20.
Rafael Nadal and Novak Djokovic have closed the gap on the Swiss great, with 19 and 17 to their respective names.
Tennis' ongoing hiatus amid the coronavirus pandemic could compromise the prospects of Federer, now 38, adding to his overall haul, having last tasted slam glory at the 2018 Australian Open.
Six years ago, Agassi declared Nadal to be the best of all time but, in an interview with Bild, he reverted to the position he held after being bested by Federer at Flushing Meadows.
"Federer, without doubt," he said. "Nobody stood out from their opponents on the court as much as he did.
"I don't think [I would have had a chance against him at my best]. I played against him in the final of the 2005 US Open. I won a set – more was not possible."
Nowadays, Agassi admits he struggles to take a set off his wife and fellow tennis great Steffi Graf.
"She always wins," he added. "She has this healthy ambition.
"It's also easier for Steffi to stay in shape than for me. She gets up in the morning, does sports and doesn't even have to think about it.
"Everything looks so easy with her."
The legendary American has turned 50, which is hard to believe as it does not seem long since he was gracing the courts as one of the great crowd pleasers.
Agassi won 60 ATP Tour titles during a 21-year professional career, making a whopping $31,152,975 in prize money.
The flamboyant former world number won all four majors before retiring at the 2006 US Open.
We reflect on the former world number one's grand slam triumphs and wish him many happy returns.
Wimbledon, 1992
It was the unlikely setting of Centre Court where the Las Vegas native's major breakthrough came.
Agassi's early successes were on hard and clay courts, but he came from behind to beat Goran Ivanisevic in five sets to be crowned Wimbledon champion at the age of 22.
US Open, 1994
Agassi's first grand slam title on home soil came at the expense of Michael Stich.
Still sporting long flowing locks that he later revealed to be a wig, Agassi became the first unseeded champion since Fred Stolle back in 1966 with a straight-sets victory over the German.
Australian Open, 1995
He started the 1995 season on a high note, moving just one title away from completing a career Grand Slam at Melbourne Park.
Minus his hairpiece, Agassi added another piece to the jigsaw by seeing off old foe Pete Sampras 4–6 6–1 7–6 (8–6) 6–4 to win the Australian Open.
French Open, 1999
Injury and personal issues led to a fall from grace for the sporting icon, who plummeted to 141st in the rankings.
You cannot keep a good man down, though, and he became only the fifth of eight men to complete a clean sweep of majors by coming from two sets down to beat Andriy Medvedev in the final at Roland Garros 21 years ago.
US Open, 1999
A second US Open title followed in the final major of 1999, a golden year for Agassi in which he started dating Steffi Graf - whom he married two years later.
Compatriot Todd Martin was the latest player to suffer at the hands of Agassi, who was taken the distance again before sealing a 6–4, 6–7 (5–7) 6–7 (2–7) 6–3 6–2 win.
Australian Open, 2000
Agassi got his hands on the Australian Open trophy for a second time five years after his first triumph in the opening major of the season.
The top seed dethroned defending champion Yevgeny Kafelnikov in four sets in the championship match. Agassi would have held all four grand slam titles at the same time if he had not lost to Sampras in the 1999 Wimbledon final.
Australian Open, 2001
He was also the master in Melbourne 12 months later, proving to be a cut above Arnaud Clement.
Frenchman Clement was unable to live with a relentless Agassi, who was in seventh heaven after easing to a 6-4 6-2 6-2 victory.
Australian Open, 2003
Agassi withdrew from the 2002 Australian Open due to a wrist injury, but he was back to regain the title a year later.
He lost just five games in a one-sided final versus Rainer Schuttler, winning what proved to be his final grand slam title at the age of 32.
Tiafoe surged into the world's top 10 in June after winning the Stuttgart Open, Tiafoe achieving a career-high ranking after his triumph in Germany.
Wimbledon will be the next challenge in Tiafoe's sights, with the 25-year-old looking to build upon his last-four appearance at the 2022 US Open – his best finish in one of the four majors.
Evenden oversaw Tiafoe's his first ATP title in 2018 before the pair parted ways three years later, and he sees no reason why the American cannot go all the way to glory.
Speaking to Stats Perform at the inaugural Tennis Black List at the LTA National Tennis Centre, Evenden said: "We worked together for four years and every day he stressed me out, but it was because I knew this was waiting at the end of the road and I know he's got much further to go.
"I think it's only a matter of time before he now figures out a way to get to the top five and then hopefully it's only a matter of time before that slam comes."
Asked whether Tiafoe had the ability to go all the way in a major, Evenden added: "Undoubtedly. That's no doubt, it's just a matter of when for me. I've never doubted that from him for a minute."
Evenden, who was replaced by former top-10 player Wayne Ferreira in 2021, believes Tiafoe's technique is perfectly suited for Wimbledon, where he faces Yibing Wu in his opening round on Tuesday.
He continued: "That quick whip take-back, short, compact backhand. He has got all the touch and all the feel.
"I think he's got so much potential on the grass. I've always thought that and I think that this year, we could see something special from him."
Pete Sampras won Wimbledon seven times across his illustrious career, while Andre Agassi triumphed once in SW19. Andy Roddick, meanwhile, reached three finals at the All England Club, and Evenden is confident Tiafoe can deal with the pressure of being compared to his compatriots.
"As with everyone, it takes a while for you to come to terms with the pressure and come to terms with the success too because it's hard winning because you got to sacrifice so much," he said.
"Someone with such a personality like him, he's got to sacrifice more than other players. I think he deals with it very well.
"I think he's taken some huge steps in dealing with it and figuring out what works for him and what he needs to do. Obviously, he loves to show up at the big events. I think he's only going to get better."
America has not had a male grand slam singles winner since Roddick triumphed at the US Open back in 2003.
