"As I said to my teammates, there is no reason why the club should pay the price for the failure of the national team, they are two very different situations," 24-year-old Mbappe said.
"It does me good to come back with a win and to have a link with the club, the supporters and my teammates."
Neymar, who was left in tears after Brazil were knocked out by Croatia in the quarter-finals of the World Cup, was sent off for two yellow cards in PSG's victory.