The Greece international is a top target for the Reds.
"I can tell you we have no interest in a transfer away from Schalke at this point in time," Paul Koutsoliakos told Bild.
"Kyriakos is happy being at this club.
"Kyriakos is fully focused on being fit when Schalke start pre-season training in the next few months. He looks likely to be ready for it."