The Reds edged past Sepidrood thanks to a Saeid Karimi’s stoppage time goal in Rasht’s Sardar-e Jangal Stadium.
Branko Ivankovic’s team will meet Padideh in the competition’s quarter-final in Tehran and the winner of the match will face Sepahan in Isfahan.
Damash Gilanian football team has already advanced to the final match.
The Hazfi Cup is the Iranian football knockout cup competition, run by the Iranian Football Federation.
Esteghlal is the title-holder and most decorated team with seven titles.