Parma boss Roberto Donadoni attacked Napoli's players after their 2-2 draw.
Napoli striker Gonzalo Higuain had to be dragged away from a row with Parma goalkeeper Antonio Mirante.
It's also reported that in the tunnel, Napoli director Riccardo Bigon clashed with Parma player Daniele Galloppa.
"I was there and I heard what was said after the game," Donadoni told Sport Mediaset.
"Having people tell us we should lose just because we're bankrupt and already relegated is disgusting and shameful.
"It wasn't just Higuain, but a few others said the same on the field during the game. When you hear something like that from a director, though, it's a real tragedy.
"This is all incredible. I don't want to name names, as if I have something to say to these people, I'll do it to their faces."