There had been suggestions that Rooney was unhappy at being dropped into a deeper role for the Red Devils following Van Persie’s arrival at United from Arsenal last summer.
But the 27-year-old striker has moved to end such talk, insisting that the pair enjoy a good relationship both on and off the pitch.
“I have seen things said over the summer, but Robin and me are friends off the pitch,” Rooney is quoted as saying by the Daily Express.
“There is no problem between me and Robin at all. We are great friends and we want to help each other and be successful.
“The manager has made it clear that he wants one up and one behind and, whatever way round that is, it doesn’t matter to me as long as one is always filling in behind and helping out the midfield.”
Rooney scored twice as Manchester United kicked off their Champions League group-stage campaign with a win against Bayer Leverkusen at Old Trafford.
Get 8/1 enhanced odds on Tottenham to win or 11/1 enhanced odds on Liverpool to win at White Hart Lane on Saturday afternoon. Click here to sign up now. T&Cs apply.
MORE: Latest Man Utd news
MORE: Latest Arsenal news
MORE: The latest football news