Napoli's Senegalese defender Kalidou Koulibaly reacts after receiving a red card during the Italian Serie A football match between Inter and Napoli on December 26, 2018 at the San Siro Stadium in Milan.
Italy, as well as other European countries, has struggled to combat racism and stamp out racist chants during matches.
"I think it's only right to start by saying that my position is one of condemnation: no ifs, no buts", the Inter coach said at a news conference on Friday.
Following the 1-0 match between Inter and Napoli, Wednesday night in which Lautaro scored the games only goal, there was a bigger issue at hand, racism in the stands.
"Things don't change with just one gesture, but with the constant, daily effort to change things", he said.
Ancelotti said that they had asked three times for the game to be stopped due to the abuse, but that the only action taken was to make announcements to the crowd.
Three Inter fans were arrested over the clashes that took place ahead of the game, he said.
"What happened today is not good not only for us but also for Italian football as a whole", the former Chelsea and Real Madrid manager continued.
Koulibaly's compatriot and Senegal teammate Sadio Mane has now sent a message to the centre-back.
The defender was sent off for two bookable offences after he made a rash challenge and then sarcastically applauded the referee.
Inter and Napoli was the pick of Serie A's St. Stephen's Day slate.
Cardona said he will request that Inter fans be banned from traveling to away games for the rest of the season and that the northern end of the San Siro, where Inter's "ultra" fans are based, be closed until March 31.
The Senegalese was subjected to monkey chants at the San Siro with Carlo Ancelotti insisting the events shamed Italian football.
Playing for Pescara at the time, Muntari walked off the pitch after hearing abuse and later told CNN Sport that he'd support a player boycott in protest against racism.
As well as the racist abuse received by Koulibaly, the match was also marred by tragedy when an Inter fan was killed after clashes between rival supporters before the game.