The Sunday People reports that Arsenal and Chelsea are ahead of Tottenham, West Ham and Everton in the chase for the 22-year-old striker.
The £10million-rated striker joined Sion from Russian side Krasnodar last year and his contract with the Swiss club expires in 2018.
Agent Antoine Issa Kossoko said: “Lots of English clubs are interested in Moussa – Chelsea and Arsenal scouts are keeping an eye on him – but he is not obsessed with the Premier League and will consider good offers from Germany, Spain or England.
“Hannover, Mainz and Bruges were keen on him this summer, offering up to £6m. But Sion said they would not sell for less than £10m.”