The 27-year-old, who was part of the side that overcame Aston Villa on Monday, has two years remaining on his current contract.
It had been suggested that the Ecuadorian would seek pastures new in the summer, but he has since quelled such claims.
"Neither the club or the coach have said anything about [leaving Manchester United]. I think it was a rumour that came about in Ecuador more than anywhere else," the Ecuadorian ace told Radio La Deportiva.
"[Manchester] is my home, I would like to stay here for a lot longer and retire here before going back to Ecuador."
Valencia joined United from Wigan Athletic in 2009.