Nantes stopped play because their goalkeeper Ciprian Tatarusanu and centre-back Diego Carlos were in need of treatment for cramp.
Marseille then won a corner from playing on from which Florian Thauvin fired home after a goalmouth scramble.
And fuming former Leicester City boss Ranieri let rip at Payet, saying: “There was a throw-in, Payet should have given the ball back. That’s football. So, vive le football. Gentlemen give the ball back, the others, no. That’s the ones who are smart.”
Payet said: “I’m quite a fair player, but you shouldn’t push your luck. When I saw the goalkeeper and the defender go down without being touched, there comes a time when you have to stop.”