Juventus GM Beppe Marotta was left disappointed with the behaviour of fans during their win over Napoli.
Both sets of supporters traded ugly insults during Juve's triumph.
"We are worried and I think all of the football movement should be," Marotta told Sky Italia.
"These are situations that truly damage our own football and that must be re-evaluated from an image standpoint."
Juve's ultra fans sang: "(Volcano) Vesubio, wash them with fire. We are not Napolitanean."
A section of Napoli supporters chanted: "Liverpool, Liverpool" in reference to the Heysel disaster which left 39 Juve fans dead in 1985.
"We are saddened," Marotta said. "I would really want for fans to incite only the team and not to turn to offensive chants, because in the end I consider those a damage to themselves seeing as it is the fans that are punished after all."
