The former Arsenal skipper - who made more than 250 league appearances for the Gunners, winning three Premier League titles and four FA Cups - won his third consecutive Serie A crown with the Nerazzuri in 2008/09.
The 33-year-old, who has made more than 50 league outings for Inter since arriving from Juventus in 2006, had hinted that he was ready to leave Italy, with a switch to either England or France on the cards.
Vieira had been linked with a move to Portsmouth in January while former Gunners team-mate Tony Adams was in charge at Fratton Park, before more recently being tipped to join Paris Saint-Germain, Birmingham City and Tottenham Hotspur.
However, the Frenchman now believes that staying in Serie A in 2009/10 will give him a better chance of participating in next year’s World Cup in South Africa.
“I still feel like an Inter player and I feel part of this project,” he said.
“I know it’s difficult to hold down a starting place in a team with so many champions, but I always try to give my all and then it’s up to the coach to decide.
“I am training hard and I am happy because I feel so good after so many injuries.”
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