The 20-year-old Frenchman is the latest Ligue 1 player to be linked with a move to Villa Park.
The emerging Montpellier midfielder has admitted his desire to experience English football, despite further interest from Serie A.
England travel to Brest on Monday to take on France under-21 side. Les Bleus missed out on Euro 2015 but should still be feared.
Lyon are on a great run at the moment, with three wins from five, Lacazette is the key if they want all three points against Montpellier on Sunday.
After a summer of interest, Arsenal are still keen on winger Florian Thauvin. His Marseille side take on Stade de Reims on Tuesday night.