The midfielder was sent off during his side's 3-2 defeat to Lazio after punching Stefano Mauri, and although Prandelli stands by his decision to exclude him from the team, he still respects the midfielder as an individual.
“I have no doubts about De Rossi as a person,” he told reporters at a press conference.
“Every now and then things happen that touch a nerve, and he knows that this incident should not have happened.
“We have to remember that De Rossi is a Roma fan as well as a player. He feels the games like no other but he has gone too far this time.
“Daniele has apologised to Mauri and I think that is a nice gesture. I have not spoken to him personally, but I will in the coming hours.”
The Azzurri take on France in an international friendly on Wednesday evening.