The Bulgarian's future is in doubt after he was omitted from the Red Devils' squad for their UEFA Champions League final defeat to Barcelona in May.
Berbatov scored 22 goals in all competitions for his club last season but, despite that return, did not feature regularly towards the end of the campaign.
Recent reports have suggested the 30-year-old could leave this summer, with French club PSG mentioned as suitors, but Berbatov's representative insists he wishes to stay at Old Trafford.
Emil Danchev said in the Daily Mirror. "We'll know more after we have talks with United, but Berbatov wants to stay and to keep winning trophies."
Berbatov joined United from Tottenham in 2008 and has since scored 42 league goals in 96 appearances for Sir Alex Ferguson's side.