The Daily Star says Dembele has been in contact with Martial over what Manchester is like.
The France international's future is up in the air amid talk of Neymar's return to the Nou Camp.
Dembele has had a torrid time with injuries since his mega-money from Borussia Dortmund in 2017.
The winger has made just five appearances in La Liga this season.
And despite both the player and club insisting that he is not going anywhere, a transfer away from Barcelona could be best for all parties involved.