Goal.com understands that Sir Alex Ferguson has made Roberto Lewandowski a priority summer signing, but Bayern Munich are leading the chase for the Dortmund striker's signature.
And Van Persie insists he would not be worried that a new signing would affect his game time at United, and would respect any decision the manager makes.
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After sealing the first league title of his career, the 29-year-old doesn’t want the success to stop there and is targeting more trophies next season.
He added: "Quite simply, I now want to win as much as possible. Now I've won one big prize I'm even more eager to win more, even more eager to win it all.
"Next season I have the Premier League, FA Cup, Champions League, Capital One Cup, Community Shield and of course the World Cup to focus on."
The Netherlands international has also paid tribute to the elder statesmen at Old Trafford, claiming he hopes to emulate Ryan Giggs and praising the experience of working under Sir Alex Ferguson.
He continued: "Ryan is remarkable. I really hope that I will be able to play on until my 40s - preferably my 50s! I love the game that much, it's my life and my passion.
"I have only played under him [Sir Alex] for one year and it has been an incredible experience in so many ways."