The 63-year-old is on the short-list for the role as he was a candidate to take charge of Persepolis, Esteghlal’s archrival.
Mazzarri has most recently worked as head coach in Serie A side Napoli.
The coach was sacked after six wins, three draws and eight defeats in all competitions on the Partenopei bench.
He has also coached Livorno, Reggina, Sampdoria, Napoli, Inter, Torino and Cagliari.
Esteghlal parted ways with Javad Nekounam last month.