A feud dating back to 2007 when both were at West Ham was re-opened early in the first half of Wanderers' 3-1 victory and continued as they walked off for half-time, with Zat Knight having to pull his team-mate away. Reo-Coker, who scored his side's second, had the last laugh with the win which lifted Bolton out of the bottom three.
"Craig Bellamy is going to be Craig Bellamy and I've got no respect for him," Reo-Coker said.
"He can do whatever he wants to do but I don't give a damn about him. It is football. I'm from the old school; I'm not a bully or someone who runs my mouth so to speak. I get on with football but if someone brings it to me I'll handle it.
"But I'm not concentrating on him, he is not a big factor in this. It is all about the team and the team performance and I thought we were fantastic. There was no neutral who watched the game who could say we didn't deserve that win."
Having struggled in the relegation zone for most of the season. a second home win of the campaign came as an unexpected but welcome boost for Bolton.
"It is very important (to be out the bottom three), but more than anything it was the win that was important," added Reo-Coker, 27, a free transfer from Aston Villa.
Reo-Coker has been given a deeper role in midfield in recent weeks and, with Kevin Davies relegated to the bench, has been standing in as captain. The midfielder is more than happy to lead the side on the field and feels he has plenty more to offer as well.
"I would say to the manager there is a lot more I can do," he added. "At the moment I have been asked to do a specific role for the team and that is what I am doing.
"It is always an honour to captain a Premier League side and for someone with this 'bad boy' reputation I've managed to captain every club I've been at, so that says a lot."