Malcom is currently on the books at Russian giants Zenit until the summer of 2027, but bids are expected to come in for him.
He impressed in the recent Russian Premier Liga season, scoring 23 goals in 27 games for Zenit as they clinched the league title.
According to French outlet Foot Mercato, Malcom is hoping that Paris Saint-Germain come in for him, but also is attracted to other teams that are keen.
It is claimed that Liverpool are admirers of Malcom, though whether the Reds will try to sign him is unclear.
He could also have an option in Saudi Arabia, with clubs in the country claimed to be interested in snapping him up.
Malcom has now made a total of 108 appearances across all competitions for Zenit, finding the back of the net an impressive 42 times.
The Brazil international made the move to Russia from Barcelona in the summer of 2019.