Moses Simon punished a mistake from Presnel Kimpembe and Nantes threatened to snatch a draw against PSG, but Thomas Tuchel's side held on.
Kylian Mbappe started despite his outburst at the weekend and PSG, who were without the injured Neymar, saw out a 2-1 victory over Nantes.
Neymar will not face Nantes due to a rib problem sustained against Montpellier, but Kylian Mbappe is included in the PSG squad.
Real Madrid have long courted Kylian Mbappe but Thomas Tuchel does not think a sideline row on Saturday is the beginning of the end.
Neymar's decision to throw a birthday party two days before a game did not please Paris Saint-Germain head coach Thomas Tuchel.
A year on from the plane crash that claimed Emiliano Sala's life, Nantes confirmed a unique kit has been created in tribute to him.
Thomas Tuchel admitted Paris Saint-Germain did not "play free" in their 2-0 victory over Nantes, suggesting his players lack confidence.
Paris Saint-Germain coach Thomas Tuchel replaced Mauro Icardi with Kylian Mbappe and the France international repaid his faith with a goal.
Marco Verratti remains sidelined and will not be available for selection when Paris Saint-Germain take on Nantes in LIgue 1.
A three-window transfer ban will be Cardiff City's punishment if they fail to pay Nantes €6million for the transfer of Emiliano Sala.