The veteran French midfielder signed on a short-term deal from Inter Milan in January but struggled to make an impact after arriving from Italy with a calf injury.
However, Vieira played enough games towards the end of the season to activate the offer of a new deal for next season, and talks are expected take place in the coming weeks.
City boy: Vieira (left) hopes to remain at Eastlands for another another season
City will still have a say over whether he stays at the club, and Vieira could decide to look elsewhere if there is not a good enough prospect of first-team football or he receives a better offer. His basic wage is believed to be £30,000-a-week before bonuses.
But the 33-year-old insists he has no wish to leave, saying: 'I wantto help the club continue to improve and get Champions League football.We need to talk and hopefully there might be something.
'I want to stay and the club wants me to stay, so that is a good start.'
Vieira,who made a total of 14 appearances this season, is one of severalplayers whose chances of staying at City might have improved due totheir failure to qualify for the Champions League.
Manager Roberto Mancini, currently meeting with the club's owners in Abu Dhabi to discuss his transfer targets, admits it will be harder to sign players now his team are in the Europa League.
Hard sell: Mancini says it will be difficult to lure players without the carrot of Champions League football
But Vieira said: 'When I was at Arsenal we started in the UEFA Cup and got to the final.
'After that we have played Champions League football every year. Maybe City need to go that way to become one of the great clubs in this country.'
Wanted: Greater Manchester Police are seeking discussions with this man
It has emerged that a police officer has been blinded in one eye after he was hit by a missile following the Manchester derby at Eastlands last month.
The 24-year-old officer was injured as he dealt with a disturbance outside the ground.
He only has partial sight in the eye, and doctors do not know whether the damage will be permanent.
Police have issued a CCTV image of a man they wish to speak to as part of the inquiry.
Police issue CCTV image after officer blinded in one eye at Manchester derbyMancini delivers Ireland exit warning: 'Stephen must change his head'MANCHESTER CITY FC