Edouard has been in terrific form for Neil Lennon's side during the 2019-20 campaign, scoring 27 times and registering 19 assists in 45 appearances in all competitions.
The 22-year-old has managed 60 goals in 126 outings for the Scottish giants in all competitions, meanwhile, since joining from Paris Saint-Germain, initially on loan.
According to Le 10 Sport, both Arsenal and Everton are exploring the possibility of signing the Frenchman, who could cost in the region of £35m ahead of the 2020-21 campaign.
The Gunners are expected to be in the market for a new striker this summer regardless of whether club captain Pierre-Emerick Aubameyang departs, while Toffees boss Carlo Ancelotti is also allegedly keen to boost his attack, with Lazio's Ciro Immobile linked with a move to Goodison Park.
Edouard's current deal with the Hoops will expire in the summer of 2022. body check tags ::