Gattuso echoed his former coach's demands for a zero-tolerance stance.
"I could not agree more with what Ancelotti said," Gattuso told Milan TV.
"Certainly we're not the only nation where these things happen. Just look at England, which has a great sporting culture.
"I think it's time for football to stop, for the games to be interrupted. We have to improve, it's almost 2019. Too often there are four idiots starting these chants.
"I don't think Italy is a racist country, because there are so many immigrants. It's right that games are halted."
Players including Cristiano Ronaldo and Inter captain Mauro Icardi have publicly condemned racism in the aftermath of the ugly episode.
Liverpool star Mohamed Salah also shared a message of support for Koulibaly, posting a picture of himself in action against the defender on Twitter and writing: "There's no place for racism in football. There's no place for racism anywhere at all."
There’s no place for racism in football. There’s no place for racism anywhere at all. pic.twitter.com/d2YwWSbXJe— Mohamed Salah (@MoSalah) December 27, 2018