After her first-round win, Osaka stood by her word and refused to do a news conference, though she did an on-court interview following the win against Tig.
The Grand Slam events' leaders also emphasized that repeat violations by Osaka could lead to "more substantial fines and future Grand Slam suspensions". "We wish her the best and the quickest possible recovery, and we look forward to having Naomi at our Tournament next year", Gilles Moretton, the French Tennis Federation president, said in a press conference without taking questions.
The 23-year-old Japanese tennis star took to Twitter to explain her decision.
"A core element of the Grand Slam regulations is the responsibility of the players to engage with the media, whatever the result of their match, a responsibility which players take for the benefit of the sport, the fans and for themselves", their statement said.
Osaka's agent, Stuart Duguid, confirmed in an email to The Associated Press that the world's No. 2-ranked tennis player was pulling out before her second-round match at the clay-court tournament in Paris.
"The truth is that I have suffered long bouts of depression since the US Open in 2018 and I have had a really hard time coping with that".
"Hopefully the more I play, the better I will become".
And that was that from a player who has now strung together 15 successive Grand Slam match wins.
After a "lack of engagement" from Osaka, the Grand Slam organisers wrote to her to offer support, as well as to "remind her of her obligations".
Get more from Naomi Osaka Follow your favorites to get information about games, news and more. "Now it's up to them to decide what's going to be", said former two-time Wimbledon victor Petra Kvitova after her opening win.
Navratilova also tweeted that although Osaka "tried to make a situation better for herself and others, she inadvertently made it worse".
"Losing after being two sets to zero up, it's very unusual to me, and I have to think about what's wrong at the moment", said Thiem. She has struggled on clay and never advanced past the third round in Paris, but the tournament remains one of the pillars of the sport.
World number five Stefanos Tsitsipas rounded off the day with a 7-6 (8/6), 6-3, 6-1 over Jeremy Chardy.
The Greek is widely tipped as a potential champion should 13-time victor Rafael Nadal or world number one Novak Djokovic falter.
American Sofia Kenin, who won the Australian Open and finished runner-up at Roland Garros past year, said: "It's definitely not easy".