Esteghlal aims to strengthen its squad during the summer transfer window, foot-africa.com reported.
Last season, Aboubakar scored seven goals for Hatayspor and provided two assists in 25 matches.
The international Cameroonian forward had also been linked with a move to Esteghlal’s archrival Persepolis.
Aboubakar has played for the French club Lorient and Portuguese side Porto.