It was also the 96th victory at Roland Garros for the Spaniard, who is seeking a 20th Grand Slam title to equal Roger Federer's record.
Djokovic grabbed five of his 14 break points to claim the victory in two hours and 23 minutes, while his Russian rival only took advantage of two of his nine opportunities.
Zhao Xuetong nailed 19 points for Sichuan. Gao Song and Hu Yueming each scored 17 points. Shao had 11.
The South American zone's 2022 World Cup qualifiers had been scheduled to begin in late March but were postponed because of the coronavirus pandemic.
"I got a bit emotional last two points of my match. I really started to think still about the match because in tennis we really never know when it's the end. But my memories, happy memories, when I made my comeback here in 2017, when I step on the Philippe Chatrier, I couldn't really imagine me to be in the quarterfinal of this slam. Everything just came back to me," said Kvitova, who was attacked by a break-in knife-wielding robber at her home in the Czech Republic during the off-season of 2016 which left her dominant left hand seriously injured. It was at Roland Garros that the two-time Grand Slam champion made her comeback.
The South American zone's 2022 World Cup qualifiers had been scheduled to begin in late March but were postponed because of the coronavirus pandemic. Enditem
In eight games played in front of the empty stands of the Reale Arena, 'La Real' has suffered four defeats and its only win was against relegated Espanyol. Down the road in Bilbao, Athletic Club - another side that is usually tough to beat at home - has lost its last four home games. It certainly looks as if the teams with the most passionate home fans are the ones who are missing them most.
It was immediately clear whether the pair would be replaced.
Wuhan and Jiangsu will vie for the league championship on this Sunday. Enditem
The two-time Grand Slam winner committed just seven unforced errors throughout the one-sided encounter and broke her opponents six times.
Getafe went top of the table with that win and Jose Bordalas' men now visit Real Sociedad, whose defeat to Valencia served to confirm that they are missing the support of their home fans. The side from San Sebastian has won just one and lost four of the eight home matches since football returned to Spain in empty stadiums in the middle of June, and on Saturday it will be without the injured Adnan Januzaj.