Goretzka, 22, has entered the final six months of his Schalke contract and is able to talk to other clubs about a potential free transfer at the end of the season.
Karl-Heinz Rummenigge, Bayern's executive board chairman, reckons they would be "crazy" not to be interested in Goretzka and is optimistic about hearing the midfielder's final decision.
"We would be crazy if we did not think about signing a German international whose contract runs out," Rummenigge told Sky.
"Now it is up to the player to decide, and it would be nice if he chose Bayern in the end. You only have an agreement when you sign the contract.
"The decision will be taken in a few days."