The incident followed after full-time of Monaco's 3-2 victory over Nice on Saturday. Nice's defeat in the Riviera derby left them fifth from bottom, just six points above the relegation places.
Nice president Gilbert Stellardo disowned his own supporters for their violent behaviour, going as far as to say "I dream of having supporters like they have in England. I would prefer to have supporters who have other qualities than those that ours possess."
Monaco coach Guy Lacombe said that spectators simply couldn't come to terms with their team or favourite player losing.
"We simply don't accept losing these days," said Lacombe, who himself was the target for personal abuse when he coached Paris St Germain. Sport is about competition. There is a winner and a loser. One has to understand that. If one educates these people about the culture of sport, then things would take a different turn. But this problem does not date from today."