France internationals Samir Nasri, Hatem ben Arfa, Yann M'Vila and Jeremy Menez will face a disciplinary commission over their actions at the European Championship.
French football federation president Noel Le Graet announced on Tuesday that the quartet would be questioned "as soon as possible" though he added that he does not think they will be suspended.
Nasri issued an expletive-laced rant at a journalist following France's 2-0 defeat to Spain in the quarterfinals, while Menez made a disgruntled gesture at captain Hugo Lloris during the same match and M'Vila left the pitch without shaking France coach Laurent Blanc's hand.
Ben Arfa was involved in a heated changing-room bust-up following the 2-0 defeat to Sweden in the final group game.
Le Graet also said that the federation needed "a few days" to decide who it wants to succeed Laurent Blanc as France coach.
He denied that Didier Deschamps - who quit as Marseille coach on Monday - had turned down the job and says he remains on the shortlist.
"I spoke to Didier Deschamps yesterday night briefly," Le Graet said. "There was no offer to him. He told me that the France job was one of his dreams. He asked to be given a few days to think about it.
"He's on the shortlist. If Didier should take too long, I will make another decision."
Le Graet also said that the players' bonuses had been frozen. Each of the players should have received 100,000 ($126,000) for reaching the quarterfinals.
At the 2010 World Cup, striker Nicolas Anelka received an 18-match ban after insulting coach Raymond Domenech in the dressing room.
Several players - including captain Patrice Evra - received shorter bans for their part in a training-ground strike in protest over Anelka being sent home.