Sunday's encounter ended in a 1-1 draw after Marseille netted a last-minute equaliser, but only after Payet had failed to return the ball to Nantes when two of their players had required treatment.
The 30-year-old is quoted by The Mirror as saying: "I'm a player who believes fair play but you cannot push it too far.
"When I see a goalkeeper and a defender on the floor without any contact, there comes a time that we have to stop. We played on and there you go. You can say it is justice."
Marseille sit in third place in the league standings.