Osaka appeared on The Ellen DeGeneres Show following her maiden grand slam final win which was overshadowed by Williams becoming embroiled in an epic fight with umpire Carlos Ramos after being slapped with a game penalty for three code violations.
Ramos was supported - albeit belatedly - by the International Tennis Federation (ITF), who said he acted with "professionalism and integrity", however the United States Tennis Association and Women's Tennis Association earlier backed Williams' claims that she received unfair treatment.
On Sunday, a day after the controversy, Ramos said he did not go out much, trying to avoid the angry fans.
Firstly Williams was warned after her coach Patrick Mouratoglou was caught gesturing to communicate with her, and then the American was docked a point after smashing her racket.
However, one senior figure told The Guardian that privately, there was widespread concern about how the USTA and WTA had rushed to support Williams - which had led to vitriol and abuse on social media for Ramos.
According to McEnroe, Ramos should not have given Williams a violation for breaking her racquet and should have warned her early on about what would happen if she did not move on.
The 20-year-old, who defeated Williams to be crowned champion, hit headlines around the world when Williams cried on the court and called the umpire a "thief".
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Celebs react to Serena Williams' controversial loss at US Open
Serena Williams was penalized a game for calling the chair umpire a thief during an extended argument as the U.S. The tournament referee's office Sunday docked Williams $10,000 for "verbal abuse" of chair umpire Carlos Ramos .
"I do not believe there is a formal boycott in place so I do not think we need to take any action in regards to a boycott", a spokesman for the U.S. Tennis Association told HuffPost on Wednesday.
The WTA also issued a statement from CEO Steve Simon calling for "no difference in the standards of tolerance provided to the emotions expressed by men versus women" and noting, "We do not believe this was done [in the final]".
"The umpiring fraternity is thoroughly disturbed at being abandoned by the WTA", retired umpire Richard Ings told ESPN.
"It was really awesome", Osaka said about playing against Williams.
Williams struggled against her young counterpart, but was repeatedly penalized during the match, causing the tennis icon to lose her cool multiple times.
"It's a delicate situation, but a la carte arbitration does not exist. She's passionate. She was speaking out and I think for Ramos, he was a little defensive at that point, and was fed up as opposed to saying, 'Okay, let's get back to business, '" Adams said.
Portuguese newspaper Tribuna Expresso reported that Ramos had avoided walking the streets of NY on Sunday to avoid any "complicated situations". "Don't worry about me".