Everton boss David Moyes is being linked with the job at Schalke.
Schalke are in the market for a new manager after the dismissal last month of Huub Stevens. Jens Keller is currently in charge after stepping up from the youth team.
Express says Schalke are interested in Moyes, who is waiting to discuss a new contract with Everton.
Any move for the Scot from Schalke is likely to be delayed until the summer.