Tevez described the United captain as an "idiot" and a "boot-licker" after the Argentinian scored twice in the Carling Cup semi-final first leg 2-1 victory.
The Argentinean's comments came following an incident on the touchline at Eastlands with Tevez making a gesture towards Neville, who was warming up. He responded by raising one finger.
Regarding Tevez's remarks, Mancini said: "I think these things can sometimes happen after a match.
"The players are tired and sometimes they do not think what they are saying.
"It is important that this matter is finished now as we need to focus on our next game."
The Italian boss does not believe Tevez's comments about Neville could provoke crowd trouble.
He added: "I hope not. In England it is beautiful as families go to a match. People have the right attitude."