"I am good, under the circumstances," Ramos was quoted as saying in Portugal's Tribuna Expresso.
"It's an unhappy situation but a la carte refereeing doesn't exist.
"Don't you worry about me!"
Ramos, who told the newspaper that he had avoided walking the streets of New York on Sunday to avoid any "complicated situations", confirmed he would be back in the chair on Friday in Zadar, Croatia.
The International Tennis Federation (ITF), which on Monday issued a statement describing Ramos as one of the most respected umpires in tennis, has appointed him to officiate the semi-final of the Davis Cup, the international men's team event, between Croatia and the United States.
The United States Tennis Association (USTA) and Women's Tennis Association (WTA) both publicly backed the allegations of sexism levelled at Ramos after Saturday's match.
Williams was fined $17,000 and docked a point and a game for three code violations during the match, including breaking a racket and verbally abusing the umpire.
Billie Jean King, the former world number one who founded the WTA in the 1970s, said on Tuesday all sides shared blame for the incident, saying Williams was "out of line" but that Ramos could have prevented the controversy with more leniency and clearer communication.
Ramos was unable to defend himself in public in New York as the row escalated over the weekend as ITF rules prevent umpires from commenting on their matches.
The incident sparked another social media storm on Monday when a cartoon was published in an Australian newspaper depicting Williams with exaggerated features, which civil rights activist Rev. Jesse Jackson among others described as "racist".
The Herald Sun, owned by News Corp, defied allegations of racism on Wednesday when it reprinted the cartoon on its front page, attempting to portray the controversy as a matter of freedom of speech.
(Reporting by Rory Carroll, editing by Nick Mulvenney/Peter Rutherford)
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