Flamengo entered the match with only three regular starters, having reported 16 positive coronavirus cases in their first-team squad last week. Head coach Domenec Torrent was also absent from the touchline at Allianz Parque because of the virus.
Rangnick has successfully worked in Gelsenkirchen twice in 2004 and 2011, and since then enjoys high respect among the club's supporters.
"I am very happy," Nadal said in French at the Court Philippe-Chatrier after the triumph, "It will be another difficult match against Travaglia or Nishikori. I hope to play a good level. It's always special to play here in Paris, especially here on Court Philippe-Chatrier, so I'm very happy to play another time."
The result left Flamengo, the reigning Brazilian and South American champions, sixth in the 20-team league standings with 18 points from 11 matches. Palmeiras are fourth with 19 points.
Baena, the world number 101, battled to a 7-5, 6-7, 6-3, 3-6, 8-6 victory to reach the third round of a Grand Slam for the first time in his career.
The Belgian, who arrived from Chelsea for around 100 million euros in the summer of 2019, has struggled with a range of injuries since his arrival and taken part in just 22 games from a possible 53 since joining from Chelsea. Enditem
The former world No. 1 is to face a tougher challenge in the second round against 2017 champion Jelena Ostapenko of Latvia, who knocked out American Madison Brengle 6-2, 6-1.
Ajax have already signed the 26-year-old Sean Klaiber from FC Utrecht to fill Dest's vacancy. Enditem
Earlier on Sunday, Wissam Ben Yedder struck in each half as nine-man Monaco held on to overcome Strasbourg 3-2 at home. Right-back Ruben Aguilar added another for Niko Kovac's side in stoppage time of the first half.
Despite a large deficit, Ji never winced and constantly attacked the basket. But boasting a balanced offense, Shandong didn't let the win slip away from their hands. With a 77-39 advantage heading into the final frame, Shandong killed any suspense about the result.
The win also saw the team from northwest France climb to the top of the table, two points clear of second-placed Lille.