"I am a little bit disappointed there are not so many black managers in the game," said in a Feel Football webcast shown live on Eurosport-Yahoo.
"I think we need to trust black managers in the same way we treat black players. To give us more possibility to become managers."
Vieira's comments follow the sacking of Paul Ince by Blackburn on Tuesday, which meant that no more black coaches are present in the Premiership.
Even though the Frenchman demands more room for black tacticians, he conceded that he is not looking forward to the challenge himself.
"For me, I don't see myself as a manager. Maybe I do not have the patience that a manager has," Vieira added.
"I think to be a manager is a really difficult and a really special job. You need more commitment than when you were a player, and I don't think I would be ready to do that.
"Maybe in the next few years I will change my mind but at the moment I do not see myself as a manager."
Racism in Serie A
The 1998 World Cup champion with France revealed how difficult life can be for a black footballer plying his trade in Italy.
"I think it is more difficult to be a black player in Italy because the abuse that you receive is more often," he said.
"In the last four years I have spent in Italy I have had some problems from the fans but the best answer you can give is to play better and to hold your head high on the pitch.
"FIFA has to do more about it. I think it's really easy to find the people in the stadiums who are doing this and the best thing is to suspend them - we should ban them."