The offer came after Ali Daei refused to continue coaching Iran's Persepolis club after Iran Cup.
Persepolis' technical committee had offered the position to Daei earlier after he walked away from the post following the club's play-off Cup triumph.
Daei made 149 appearances for the Iran national team scoring over 100 goals.
Former Shahin Bushehr and Steel Azin manager Estili, who previously spent time at Persepolis as a player and assistant coach, penned a two-year contract with Persepolis club.
