Rooney's relationship with Ferguson has been under the spotlight ever since he handed in a shock transfer request in October before performing a dramatic U-turn to sign a new five-year contract.
Recent newspaper speculation had hinted that Ferguson was ready to cash-in on the England striker in the summer following a souring of their relationship. But Rooney, 25, claims he is not going anywhere and the reports are nonsense.
Rooney said: "I saw that, but I've never seen such rubbish in my life. My relationship with Sir Alex has no problems whatsoever.
"I'm enjoying my football here and if I was going to leave in the summer, I wouldn't have signed a new contract when I did. I've signed it and I intend to see it through to the end.
"Unless I'm ever not wanted, then I'll be staying here, that's for sure. I'll be here until I'm in my 30s.
"I admit I made a mistake - like I've said a lot of times - by saying I wanted to leave. But I've committed my future to United. I'm happy, my family are happy, so there is no reason for me to move elsewhere.
"I want to try and win more trophies and bring more success to this club."
Rooney, who has struggled to find his form for almost a year, has been back to near his best in United's last two matches, against Arsenal and Marseille, and has revealed he is only just pain-free again following the ankle injury that has blighted his last 12 months.
"I feel sharp and fit again," said Rooney. "When I first got back playing for about two months I was still very aware of my ankle. It still felt weak so it had been on my mind.
"But now I am going in for tackles and am twisting and turning. It is fully mended and 100% now. I am happy that is off my mind now."