Aubameyang has been with BVB since 2013 and a return of 137 goals from 208 appearances in all competitions has seen him linked with many of the top European clubs.
Real's name has never been far away from the Gabon striker and rumours persist that they might look to take him in the January transfer window.
But, ahead of Wednesday’s Champions League meeting between the sides at the Bernabeu, Bosz has made it clear that he wants the prolific hit-man to stay in Germany.
"He is an awful player, very bad ... it's a joke," he quipped. "I hope he does not go to Madrid. He has the quality to play for them, but I hope he stays with us."