The Scottish champions want to keep hold of 22-year-old Edouard but the likes of Arsenal are interested.
His strikes against Roma and Borussia Monchengladbach in the Europa League indicated that he can play at a higher level.
The former Maccabi Haifa striker is about to enter the last year of his contract with Wolfsberger and could be available for £4.5m.
Celtic’s club-record £10m signing from Paris Saint-Germain, Edouard is the latest Parkhead star attracting interest from top leagues.
The Hoops have had the likes of Virgil van Dijk and Moussa Dembele on their books in recent years.
Premier League clubs believe Edouard could transition quickly if he moved south of the border.