The Italian striker appears to have no future at Anfield under Jurgen Klopp and is likely to be sold in the summer transfer window.
"Mario Balotelli is the type of footballer that our fans can associate themselves with," Orman said. "I'm pretty sure he would attract great attention.
"To be fair, if he wasn't deemed as a trouble-maker, he wouldn't be rumoured to be joining us.
"But we can show some effort and create solutions for Balotelli's infamous troubles. I think he can change with the attention and care he'll receive in Turkey.
"In short, we want Mario Balotelli and he wants us too."