The England international is reported to be unsettled at United, who have publicly stated via new manager David Moyes that the forward is not for sale.
"I hope he stays because Wayne is such a talented player and I see him as a Manchester United player," Beckham told Sky Sports News.
"Obviously that'll be his decision and his decision only. As a Man United fan, I want to see the best players at the club and I hope he stays."
The 27-year-old has been linked with the likes of Arsenal, Chelsea, Paris Saint-Germain and Barcelona.