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.
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.
In the 65th minute, Dalian's Ke Zhao added a goal of his own and sealed the 4-0 victory.
Djokovic will face Jan-Lennard Struff for a spot in the round of 16. The German needed one hour and 40 minutes to move past American Michael Mmoh 6-2, 6-2, 7-5.
Earlier, sixth seed Petra Kvitova of the Czech Republic edged past Ukraine's Kateryna Kozlova 7-6 (3), 6-2, and eighth seed Petra Martic of Croatia beat fellow Ukrainian Kateryna Bondarenko 6-3, 6-4 to also advance into third round. Enditem
"I feel now is an appropriate time to make this news public," Larsen said in a statement." Medical science has come a long way in dealing with Parkinson's disease, and I feel very little impact of the disease in all areas of my day-to-day life."
Duan Liuyu sent a long-distance shot off the cross-bar in the 45th minute, while Marouane Fellaini saw his header hit the post in frustration in the 61st minute. Enditem
Parkinson's disease is a progressive nervous system disorder that affects movement. Symptoms start gradually, sometimes starting with a barely noticeable tremor in just one hand. Tremors are common, but the disorder also commonly causes stiffness or slowing of movement.
The 28-year-old is now 16th in the overall rankings, 16 seconds behind new leader Yates.
It was a bizarre way for the Frenchman to lose the jersey which he had kept for three days after winning the stage two.
"Our development will not be redirected. It is just a strategic adjustment based on reality. We will continue to hand the best services to our fans and partners," it added. Enditem