The former Chelsea attacker has been linked with the Irons as he considers leaving BVB this month.
Ingo Haspel revealed to Sport1: "The fact that there are enquiries and rumours from home and abroad is nothing out of the ordinary in a transfer period.
"But even in the case of West Ham, it's just rumours and speculation - I don't know of any request from this club."
Haspel says Schurrle would be willing to stay if BVB could assure him of regular first team football.
He added: "If this is possible with the necessary confidence and commitment from BVB, then he would stay there."