Kvitova went into the match quickly as she broke her Chinese opponent twice to surge to a 4-0 lead in the opening set, before serving for the set in the eighth game.
Burel wasted three set points when she took a 5-3 lead in the first set and stormed to 40-0 in the ninth game. But Zhang battled back to save all three, and held the serve before breaking Burel's in the tenth to level the score at 5-5.
"I can't get to sleep last night because I was so excited," The 43-year-old swimming fanatic said. "And I was not the only one - every one of our online group was awake late at night, cheering each other up for today's event."
The last edition of the competition was held in June 2018 in Wuhan, China, as the host nation bagged all 11 gold medals. Enditem
In the Changzhou division, Tan Long scored a hat trick to propel Changchun Yatai to a 4-1 victory against Xinjiang Tianshan Leopard.
Dilana Dilishati finished with a game-high 21 points. Zhang Dongxia registered a double-double of 10 points and 12 rebounds.
Berenguer will cost around 12 million euros (about 14.05 million U.S. dollars) and is contracted to Athletic Bilbao until the end of June 2024.
The Czech player found rhythm just in time to win nine consecutive games to finally secure her 90th career main draw victory on clay.
In her WCBA debut, Fang displayed impressive speed and sharpness on the offensive end, but due to a lack of experience, she was called two offensive fouls in a row when the two sides were involved in jigsaw-like contention in the third quarter.
Schwartzman stunned Nadal 6-2, 7-5 two weeks ago in the Italian capital.
Jiangsu were placed second in the group after the third round.