Vieira made the comments in the wake of referee Michael Oliver’s refusal to five Fulham a last-minue penalty at Old Trafford on Monday.
“When United play at home they get some advantage that other teams don’t get,” Vieira said.
“When you go to United, Madrid, Barcelona, or Milan, it’s always difficult for the referee to go against these kind of teams.
“This is the way it is. It’s something the teams who are used to winning get all the time, so we need to win games so we have this advantage in the future.”
He added on City’s title chances: “This is our moment. Since the start of the season we’ve been the best team and played the best football.
“I believe the club deserves it.”