Palmer has been impressive since leaving Manchester City for Chelsea two years ago.
Meulensteen thinks Palmer is a huge Manchester United fan, which might make him more inclined to join the club.
He notes that Palmer's talent could make a significant difference to United's team, and that his love for the club could be a key factor in a potential transfer.
Although Palmer has a long-term contract with Chelsea, Meulensteen suggests that things don't always work out as planned, and a move to United could be in the cards if Palmer and Chelsea were to part ways.
Meulensteen is confident that Palmer's skills would help take United to a higher level.
