The 20-year-old was in sparkling form at Parc des Princes, scoring three times in a 3-1 win.
Mbappe continues to be linked with a move to Real Madrid, and those talks intensified after France legend Zinedine Zidane returned as the Liga side's manager last month.
Though Mbappe is happy to see his countryman back on the sidelines, he insisted he'd only be following his progress as a fan.
"I am here, I am in the project," Mbappe said of PSG on Canal Plus.
"It's good for Real Madrid if there is Zizou, but I will watch merely as an admirer."
With his hat-trick Mbappe became the first Ligue 1 player to score 30 goals in a league season since Jean-Pierre Papin did so in the 1989-90 campaign.
The France star was happy to reach the milestone, and now has his sights set on going even further.
"The last player to have scored 30 goals is Papin? I knew, I knew. I'm happy, but the season is not over so I can score others," the youngster added.
They will at least have a shot to complete a domestic double against Rennes in the Coupe de France final next weekend, and Mbappe has said he would still be satisfied with that achievement.
"We really wanted to take the title... so we are happy and it's good preparation for next week," Mbappe said.
"We are disappointed for Manchester but football continues, it's easy to say we have to move on but I will say it anyway. I will be happy if we win the Coupe de France and the championship."