Having scored 62 goals from 126 appearances for the Scottish giants, Edouard is being linked with a future transfer to a top European club.
The Gunners and Borussia Dortmund are two of the teams who have been credited with an interest in the former France Under-21 international.
However, according to Ruhr24, the German side are not currently tempted to push through a big-money deal for the frontman.
The report suggests that Dortmund do not feel that the 22-year-old is worth his reported £30m asking price.
Edouard has just over two years remaining on his contract, putting Celtic in a position where they may have to consider offers for their star man.