The third seed allayed any fears about a lack of matches during what has been a turbulent year after her withdrawal from the French Open and decision to skip Wimbledon.
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The 20-time grand slam champion, who won his fourth Flushing Meadows title two years ago, is still troubled by the foot injury he aggravated at the French Open.
The world No 2 pulled out of the French Open in early June citing mental health issues, having refused to attend press conferences at the tournament.
The No. 2 ranked tennis player in the world was knocked out of the tennis tournament in the third round Tuesday by Marketa Vondrousova of the Czech Republic, 6-1, 6-4.
Djokovic defeated Jan-Lennard Struff of Germany 6-4, 6-3 in the men’s singles, while aiming to become the first man to win all four Grand Slam titles and Olympic gold in the same year.
The world’s No. 3 player sustained the injury in May during the second round of a clay-court tournament in Rome and missed the French Open.
The world number one looked out of sorts before rallying, leading 6-7 (7-9) 6-7 (2-7) 6-1 6-0 4-0 when the Italian retired with an injury.
The decision comes after the No. 2-ranked player in the world pulled out of the French Open last week, citing her mental health.
Having come into the tournament with low expectations, Williams had looked solid through her first three matches, and, with big names falling by the wayside, the American surged up the list of title favourites.
The 39-year-old Swiss prevailed 7-6 (7-5), 6-7 (3-7), 7-6 (7-4), 7-5 over Dominik Koepfer on Saturday night.
But the early departure of seeded players in the women’s tournament continued as third-seeded Aryna Sabalenka was upset by Anastasia Pavlyuchenkova in the third round.
The Russian tennis player arrested on suspicion of match-fixing at last year’s French Open was released from police custody on Friday, judicial officials told The Associated Press.
The 2019 champion trailed 6-1, 2-2 in the second round when she signaled she was not able to keep playing against Polish opponent Magda Linette on Court Philippe Chatrier.
Williams is aiming to tie the record of 24 grand slam titles currently held by the great Margaret Court.
Osaka had been fined $15,000 for refusing to fulfil her media commitments after a 6-4 7-6 (4) first-round victory over Patricia Maria Tig.
The Japanese player has been fined £12,900 (€15,000) after deciding to boycott press conferences at the tournament. Osaka announced on Wednesday that she would not be conducting press conferences at the tournament, which began on Sunday and runs until May 13.
The Spaniard recovered from a potentially dangerous fall after tripping over a raised line to take the latest installment of the most-played rivalry in modern men’s tennis.
World number two Nadal claimed his fourth Laureus award as he was recognised for his 13th French Open and record-equalling 20th major.
Federer, 39, is making his comeback after two knee operations and has not played a Grand Slam since January 2020.
France President, Emmanuel Macron, announced on 31 March that a schedule for the return of sporting events would start from mid-May onwards, which led to the decision by the French Tennis Federation.