The 20-year-old, who is the second son of African legend Abedi Pele, has been a hit for Marseille this season.
“Andre Ayew is in top form at the moment,” Deschamps said on Marseille’s website on Tuesday.
“He scores most of his goals with the head due to his aptitude in cutting the trajectories of flying balls.
“He has a good state of mind. He understands very quickly what he’s asked to do and corrects what needs to be corrected.
“Andre demonstrates strong desire and determination regardless of the opponent. He has great potential. He ought to continue like this, it will give him more confidence for the future.”