MLS chiefs have targeted Vieira among a wish list of veterans they want to tempt across the Atlantic.
But the 33-year-old, who joined City from Inter Milan in the January transfer window, is not ready to line up against the likes of LA Galaxy star attraction David Beckham.
Let's get physical: Patrick Viera (right) challenges Bolton's Jack Wilshere
'There are great opportunities for me to stay another year at Manchester City,' said Vieira.
City can take up the option of another season with the France international, but indifferent performances could lead them to look again at the likes of Real Madrid midfielder Fernando Gago.
Rendezvous in America: Pires (left), Vieira and Henry (right) together in their Arsenal days nine years ago
Vieira is not the only former Arsenal player in the Americans' sights. Thierry Henry is expected to sign for the New York Red Bulls, while Robert Pires could move at the end of his Villarreal contract this summer.
Jens Lehmann and Real Madrid star Raul have also been linked with a lucrative career-ending pay days.
Beckham beware: MLS want Arsenal legends Vieira, Pires and HenryVieira insists he'll bury poor form and fire City to Champions League spot'Retired' Lehmann to team up with former Arsenal pal Henry at New YorkMANCHESTER CITY FC