Benzema, who is set to lead France's attack against England on Monday in their Euro 2012 opener, insists he is happy at Real Madrid and has no plans to leave the Spanish champions.
The 24-year-old has been continually linked with a move to the Premier League with Sir Alex Ferguson thought to be a big admirer of the former Lyon hit-man.
Benezema is aware of the rumours over his future, but he is adamant he has no plans to leave the Bernabeu for the foreseeable future.
"The rumours about my future are common, every summer it's the same that I will be going to this club and that club," Benzema is quoted as saying in the Sun on Sunday.
"But I am very happy at Real Madrid and the thought about leaving has never crossed my mind. I know Manchester United have tried to sign me for the past three or four seasons.
"When I was at Lyon they and a number of other English clubs wanted me but could not agree terms with Lyon. Besides, I wanted to go to Spain and I can honestly say I have never regretted that decision.
"I'm still young and I have a contract at Madrid until 2015. I still want to achieve things at the club. I have had a taste of success after winning the Spanish title but I want more."
Benzema has refused to rule out a move to the Premier League in the future, but insists he is not contemplating any such move at the minute.
"I would never say never about coming to England and, to be honest, I have no real preference in terms of teams," added Benzema. "But that is a long way in the future, not something I would even consider at the moment."