He told a news conference on Friday in Florence that his "gesture was deplorable, but understandable, humanly" speaking.
Rossi was fired for slapping Adem Ljajic on Wednesday as the Serbian forward returned to the bench after being substituted in a Serie A game. Ljajic stuck his thumb up to ironically protest his coach's decision. Rossi appeared to be about to deliver a punch when he was pulled away from Ljajic.
He apologized to his players and to Ljajic, adding "I made a mistake and I'm paying for it." But Rossi indicated he was provoked by a lack of "respect" for his role, his team and family.