The 16-times Grand Slam champion, who has been slightly ill lately, was kept on his toes before racing to victory to set up a meeting with seventh seed Stefanos Tsitsipas.
Zverev's brother Mischa Zverev was also eliminated, going out 6-3, 6-1 to David Ferrer in the first round, while Kei Nishikori eased to a 7-5, 6-2 win over Taylor Fritz to secure a place in the third round.
Grigor Dimitrov and Borna Coric tested positive for COVID-19 while participating in Novak Djokovic's Adria Tour exhibition tournament
The tournaments involve eight players each, divided into two pools of four on a round-robin basis. Sets have been slashed to best-of-seven games.
It may have been the Labor Day holiday in the United States on Monday but Andy Murray came ready to work, demolishing Grigor Dimitrov 6-1, 6-2, 6-2 to storm into the quarter-finals of the US Open.
It is a U-turn from Novak Djokovic after his June statements that competing at the 2020 US Open would be 'impossible' due to 'extreme' COVID-19 protocols for the tournament at Flushing Meadows.
Federer's hard-fought 6-7 (5), 7-6 (8), 10-7 victory over American John Isner put the Europeans just three points from their victory target and Zverev got them there with a 6-7 (3), 7-5, 10-7 win over Kevin Anderson.
Andy Murray eased past Fernando Verdasco at the Aegon Championships on Thursday but an expected quarter-final showdown with the man who beat him at Wimbledon last year was scuppered by Luxembourg left-hander Gilles Muller.
Kyrgios shot back at Coric, saying he "should care" about his comments.
Nadal braced for tough Cilic test in Melbourne showdown
He leads the men's seedings ahead of defending champ Roger Federer, with Bulgarian Grigor Dimitrov seeded third.
Rafael Nadal's path to his Australian Open semi-final against Grigor Dimitrov on Friday has taught the 30-year-old Spaniard one thing -- he's still got it.
Andy Murray claimed the biggest win of his comeback and a place in the last 16 of the Western and Southern Open on Monday by taking out self-destructing fifth seed Alexander Zverev 6-3, 3-6, 7-5.
Rafael Nadal continued his quest for a maiden Paris Masters title when he survived a second set blip to beat Uruguay's Pablo Cuevas
The spirit was as strong as ever but Rafael Nadal's troublesome knee failed him in the end as the Spaniard quit the ATP Finals after a painful defeat by Belgium's David Goffin.
World number one Ash Barty delighted the Memorial Drive crowd by breezing through to the Adelaide International semi-finals with a comfortable 6-3, 6-4 victory over Sofia Kenin on Friday.
The German world number seven claimed his first ATP crown of the year after besting Canada's Felix Auger-Aliassime 6-3, 6-3 to win the bett1HULKS Indoor title at the same venue last Sunday.
Novak Djokovic recovered from a slow start as he continued the bid to retain his world number one ranking with a 4-6, 6-2, 6-3 win over 14th-seeded Bulgarian Grigor Dimitrov in the Paris Masters third round.
Britain's Prince William and his wife Duchess of Cambridge, Catherine were in the Royal Box as the defending champion Andy Murray was dethroned out of Wimbledon on Wednesday.
Former world No.1 Ana Ivanovic suffered a shock 6-7(4), 1-6 loss against Denisa Allertova of Czech Republic in the women's singles first round at the 2016 US Open on Tuesday. Ivanovic, the 2008 French Open winner, started off well but failed to maintain her momentum. With the scored tied 6-6, the first set went into tie-break and the Serbian star failed to keep her nerves.
Nadal committed 30 unforced errors to Schwartzman's 17 and had his serve broken five times.
As Real Madrid star striker Cristiano Ronaldo watched, the World No 4 Nadal went past Italian Bolelli to set up a quarter-final clash against 10th seed Grigor Dimitrov.
Defending champion Rafael Nadal progressed to the second round of the US Open after fellow Spaniard David Ferrer retired midway through the second set due to a calf injury.
The 33-year-old Swiss maestro produced a masterclass of shot-making as he thrashed Australian wildcard James Duckworth 6-0, 6-1 to charge into the semi-finals of the Australian Open warm-up event.
The first leg of Djokovic's Adria Tour is being held at his tennis complex by the Danube River, with Germany's Alexander Zverev, Austrian Dominic Thiem and Bulgarian Grigor Dimitrov arriving for the event.
Images from Day 6 of the French Open in Paris on Friday.
Also in action on the first day at Roland Garros is men's second seed Alexander Zverev who meets Ricardas Berankis of Lithuania on Court Suzanne-Lenglen.
Images from Day 5 of the Australian Open in Melbourne on Friday.
Rafael Nadal weathered an early serving storm from Kevin Anderson before dismantling the South African giant with a 7-5, 6-1, 6-4 masterclass to reach the quarter-finals of the Australian Open on Sunday.
A ruthless Sorana Cirstea took full advantage of Karolina Pliskova's patchy form at the China Open on Thursday, reaching the quarter-finals as she consigned the recently dethroned world number one to a 6-1, 7-5 defeat.
Milos Raonic overcame third seed Grigor Dimitrov 7-5, 3-6, 6-3 to reach the third round at the Madrid Open on Tuesday and set up an all-Canadian clash with teenager Denis Shapovalov.
Images from Day 4 of the Australian Open in Melbourne on Thursday.
Djokovic is clubbed with Federer, Juan Martin Del Potro, David Goffin and Alexander Zverev.
Former Australian Open champion Victoria Azarenka began her warm-up to the first Grand Slam of the year in convincing fashion with a 6-2,6-0 win over Russian Elena Vesnina in their first round match at the Brisbane International on Monday.
Not that cash will be the motivator for world number one Novak Djokovic, Rafa Nadal, Dominic Thiem, Tsitsipas, Daniil Medvedev, Alexander Zverev and debutants Andrey Rublev and Diego Schwartzman when the tournament's 50th edition starts on Sunday.
Andy Murray said he hoped the players and their family members who tested positive recovered soon and added that the tournament should not have gone ahead in hindsight.
'Irresponsible' Djokovic panned for Adria Tour misadventure.
Kenin, Andreescu to be part of team event in Charleston in June
World number two Simona Halep beat Maria Sharapova 6-2, 6-2 in the China Open third round on Wednesday for her first win over the Russian in eight attempts.
The unseeded Indo-Canadian combine beat the Romanian-Dutch pairing of Tecau and Rojer 6-2, 3-6, 10-7 in a quarters