The attacking midfielder is his club's top scorer in Ligue 1 this season after finding the net seven times so far.
The 26-year-old's performances, according to Foot Mercato, are attracting plenty of interest and Marseille, Newcastle, West Brom and West Ham are all keeping tabs on the Algerian.
All four clubs have reportedly scouted Boudebouz over the past six months and could firm up their interest during the January transfer window with formal offers.
Montpellier, however, are hoping to at least hold onto their star playmaker until the summer despite the growing interest in his services.