Van Persie, whose future at Old Trafford looks to be under threat, is on Galatasaray and Fenerbahce's radar.
While both sides are willing to continue paying his £220,000-a-week wages, the Dutchman is keen to remain at Old Trafford to see out the final year of his contract, the Sun reports.
And Van Persie is convinced boss Louis van Gaal can reclaim the title at Old Trafford next season.
Van Persie, who made his move to United in 2012 from rivals Arsenal, was vital in the Red Devils' title-winning charge during Sir Alex Ferguson final season at the helm.
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Robin van Persie wants to stay at Manchester United next season
However, his form has dropped since Ferguson's departure raising questions about the 31-year-old's future.
He has been sidelined since February with an ankle injury, but could make his return to action for United's clash against Everton on Sunday.
He managed 62 minutes for the Under-21s side against Leicester on Monday as he bids to make his return to first-team action.
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