FOXSports.com's Jamie Trecker reports that French players told French media members that Materazzi used a racial slur which prompted the headbutt.
The strike to the center of Materazzi chest was clearly intentional, and referee Horacio Elizondo of Argentina briefly consulted with his assistants before showing Zidane the 28th red card of the tournament, a World Cup record. The previous record of 22 red cards, set in 1998, was broken before the quarterfinals round began.
"I have not seen the replays, but if it's voluntary then there's nothing you can say," Domenech said. "But it's a shame. It's sad."
Zidane, whose sparkling play carried France much deeper into this tournament than anyone expected, previously said he would quit soccer when the World Cup concluded.
Head bowed, he walked past Domenech on his way out but did not look at him. As he exited into the tunnel, his head still bent to the ground, he strode past the golden World Cup trophy and disappeared.