The former Marseille man has played 29 times for Bianconeri this season, however has only started eight games in Serie A this campaign.
Having dropped down the midfield pecking order, behind the likes of Claudio Marchisio and Miralem Pjanic, Lemina is seeking first-team football, and a move to the Premier League could certainly offer him that.
It is believed that The Emirates could be his preferred destination, with Champions League football also on offer.
The Gabon international has clear potential, with Wenger looking to snap him up and strengthen his own midfield.
Lemina would be ideal for The Gunners, as a more defensive midfielder. His strongest attributes are his passing and tackling, and would be a perfect option to sit behind the likes of Mesut Ozil and Alexis Sanchez.