The Italian’s future at the Eastlands outfit has been the subject of speculation in recent weeks, despite Mancini moving to quash reports he could quit the Etihad Stadium.
Mancini led the Citizens to their first top-flight title since 1968 last season, building on their FA Cup triumph the year before.
And City’s football development executive Vieira is hopeful the former Inter Milan boss will remain part of the club’s long-term plans.
“I hope [he is here in five years] because I believe that stability will bring success to the football club, to any football club,” said Vieira.
“When you look Man United is a perfect example to follow, so why not?
“I think Mancini, since he’s been at this football club his record has been fantastic. So credit to him – you’re not winning the cup and winning the league as an average manager. You have to be good.
“He’s a winner. He’s working hard all week in training, trying to make the team focused and is really aware of the tactical aspect of awareness of the game.
“He is looking for the perfect game and he’s really demanding. I think this is why he’s so successful.”