Menez, 20, has notched three goals in nine appearances for Monaco this season.
And Liverpool boss Rafa Benitez and his United counterpart Alex Ferguson are both keen on landing the hitman.
Menez is a France Under-21 international and has already been tipped for greatness - with some pundits comparing his play-making skills with those of French legend Zinedine Zidane.
Inter Milan are also keeping a close eye on the player, who could leave at the end of the season.