The pair have been reportedly touting the 24-year-old in a £30million move but the Spanish outfit have said the player will not be going anywhere in the close season.
Silva had previously expressed his temptation at a possible move to United, who were thought to be keen on making a close season swoop for the Spain international.
Club president Manuel Llorente has said the midfielder will not be going anywhere, though, after he helped them secure a third place finish in La Liga.
Valencia recently lost David Villa to Barcelona in what was believed to be a £35million deal and Llorente is keen not to lose another key name.
He said in The Sun: "He will not leave."