The former Accrington Stanley boss, who has never lost a match as a manager at Valley Parade, said: "The first half was a great advert for League Two football, the quality of play and the quality of goals. I don't think people give credit to the football played in League Two and League One.
"If that had been Barcelona playing football like we did in the first half people would have been raving about it. Obviously, we are not going to play to the same level as Barcelona, but you can still have the same desire and the same mentality."
He added: "When we pass the ball like we did here we are up there with the best sides in the league. We are one of the best sides in the league going forward and this match showed that. Everyone knows about our defensive frailties, but when we play like that going forward we can beat anybody."
Coleman singled out striker Terry Gornell, scorer of two of Rochdale's goals, for special praise.
He added: "Terry was absolutely fantastic. It isn't just the goals he gives you, he runs himself into the ground."
Disappointed Bradford manager Phil Parkinson offered no excuses.
"We were second best," he said. "I've got to hold my hand up as well - the balance of the team wasn't right.
"Rochdale played very well, but the disappointing thing was that we didn't pass the ball at all in the first half."
He added: "Teams come to Bradford, they know we have beaten Arsenal in the League Cup and it is a big game for them. Rochdale played with an edge to their game and whether their early goal gave them that belief I don't know, but we lacked intensity in all departments."
- Sports & Recreation