Ziegler is currently on-loan with Lokomotiv Moscow.
Speaking with NTV Spor, Besiktas President Fikret Orman has confirmed that the left-back is wanted.
"I can confirm that contact has been made," he stated. "He is an element who is of interest to our club. We are informing ourselves of what conditions are necessary in order to sign him.
"The fact that he is a former Fenerbahce player makes no difference to us."