The Frenchman was handed a 12-month contract extension at the end of the 2009/10 season but has found himself very much a bit part for City, in a season that saw them lift their first major trophy in 35 years.
Roberto Mancini has reportedly offered the 34-year old a coaching role at the club because of his influence on the rest of the team, but the veteran feels he can carry on playing the game, with rumoured interest from the United States and Qatar.
"When you have a level that is not what is desired, then it is perhaps better to decide to stop," Vieira said earlier this month. At that stage, he claimed he was undecided. "I'm thinking. Either I go to Manchester City, or I do something else. It's 50-50," he told reporters.
Since Vieira’s return to the Premier League, he has been used mainly as a bit part player in Mancini’s squad with the majority of his appearances coming in the FA Cup and League cup.
Former team-mate Thierry Henry made the switch to Major League Soccer but Vieira feels he can still contribute something to the European game, although he has stated that he would not move to a mid-table team in the Premier League.