He doubled Flamengo's lead with a low shot that rebounded in off the post before Rodriguinho pegged a goal back for the hosts.
Speaking to Sky Sports while on international duty with Wales, Bale was asked about his future at the La Liga champions.
The result lifted Flamengo to fifth in the 20-team standings, five points behind leaders Internacional
Garcia looked untouchable in the first set and for much of the second, blasting 30 winners and breaking Pliskova's serve three times en route to the 6-1, 7-6 (2) victory.
"I was looking to take the jersey on stage six anyway so I'll go in with the same tactic - try to win the stage and see what happens."
Fourth seed Naomi Osaka of Japan booked her place in the third round with a comfortable 6-1, 6-2 win over Italy's Camila Giorgi.
The victory sends Garcia into the third round, equaling her best US Open result after finishing at that stage every year from 2016 to 2018.
The 31-year-old's poor relationship with Real Madrid coach Zinedine Zidane is well documented and was made clear when Zidane only used him in two of the 12 games his side played when Spanish football resumed in June after lockdown.
The 33-year-old striker, who came on after the interval, latched onto a through pass from teammate Wu Xi before sending it into the net in the 65th minute.
"There have been other instances where we have tried to go but the club won't allow it, or they've done something. I want to play football, I am still motivated to play football, so I guess it's on the club. They are in control of everything. I have a contract, all I can do is carry on what I am doing and hopefully something comes up," said Bale. Enditem
"COVID-19 brought us lot of challenges, which were highlighted in the copyright negotiations. We are regretful to announce the termination with Premier League despite rounds of negotiations," read a statement.