Perez said he would sign "both" Mbappe and Neymar after being asked who he would choose of the star forwards after Zinedine Zidane's return to Madrid on Tuesday (AEDT).
Madrid has long been linked with Mbappe and Neymar and speculation over the duo has heightened after Zidane's comeback as the Frenchman looks to overhaul the LaLiga giant.
But PSG head coach Tuchel is not fazed by Perez, brushing off the comments after Wednesday's (AEDT) 4-0 Ligue 1 rout of Dijon.
"It's normal because everyone wants Neymar, Mbappe, [Marco] Verratti or Marquinhos on their team, it does not bother me to say that," Tuchel said.
"They are top players but they are our players and it's the most important."
There was no Champions League hangover for PSG, who bounced back from their demoralising last-16 exit at the hands of Manchester United with a crushing victory at Dijon.
Mbappe, Angel Di Maria, Marquinhos and substitute Eric Maxim Choupo-Moting scored for the French champions away from home as the leaders stayed 17 points clear atop the table.
"I was waiting for that because the team made a good impression during the training," Tuchel said. "We talked a lot. I was very calm and convinced that we are able to show and start again.
"It was a good opportunity to play again together. Having talked a lot about this match against Manchester, the team did things well with a lot of good qualities, a good pace, we scored four goals, created a lot of opportunities.
"It was a first step to show that we could react like champions. It's a good reaction, we still have goals, we want to win competitions [which remain], the championship, the Coupe de France."