Premier League giants Chelsea have been linked with Schurrle for several years and they are now said to be ready to activate a €35million (£28.5m) contract release clause.
The Stamford Bridge club are reported to have tried to sign the player last summer and are now being linked with a £12million offer plus Kevin de Bruyne.
And Leverkusen executives will look at any interest they receive in Schurrle, who has scored nine league goals this season, or any of their squad.
Leverkusen general manager Rudi Voller told Deutsche Presseagentur: "We are receiving transfer enquiries every now and then.
"Andre Schurrle is not the only player of interest. It is obvious to have a look at those proposals. We also did that last summer."
But Leverkusen are also keen to avoid being drawn in to responding to all conjecture ahead of the summer transfer window.
Club executive Wolfgang Holzhauser told Reviersport newspaper: "At this point in time, there is so much said.
"There are many rumours. I would prefer not to be part of all this."
Chelsea have not made any comment on reported interest in Schurrie.