Iran does not recognise the Jewish state and bars its athletes from appearing against Israelis.
But there was uproar from fans and confusion reigned over the issue, with Shojaei returning to the national squad in March and Haji Safi never actually banned.
Iran is unable to openly discuss the ban on facing Israelis because it breaches international sporting regulations.
There were no surprises in the rest of the squad, but Iranian fans will be pinning their hopes on 24-year-old winger and attacking midfielder Alireza Jahanbakhsh, who plays for The Netherlands' AZ Alkmaar.
This season, Jahanbakhsh became the first Asian player to become top scorer in a major European league, with 21 league goals.
Iran had a strong run in qualifiers, becoming the first to book their place from the Asian Football Confederation.
Iran World Cup squad Goalkeepers: Alireza Beiranvand (Persepolis), Seyed Hossein Hosseini (Esteghlal), Rashid Mazaheri (Zob Ahan), Amir Abedzadeh (Maritimo/POR) Defenders: Ramin Rezaeian (Ostende/BEL), Voria Ghafouri (Esteghlal), Steven Beitashour (Los Angeles FC/USA), Seyed Jalal Hosseini (Persepolis), Mohammad Reza Khanzadeh (Padideh), Morteza Pouraliganji (Alsaad/QAT), Mohammad Ansari (Persepolis), Pejman Montazeri (Esteghlal), Seyed Majid Hosseini (Esteghlal), Milad Mohammadi (Akhmat Grozny/RUS), Omid Nourafkan (Esteghlal), Saeid AGhaei (Sepahan), Roozbeh Cheshmi (Esteghlal) Midfielders: Saeid Ezatolahi (Amkar Perm/RUS), Masoud Shojaei (AEK Athens/GRE), Ahmad Abdolahzadeh (Foolad), Saman Ghoddos (Ostersunds/SWE), Mahdi Torabi (Saipa), Ashkan Dejagah (Notthingham Forest/ENG), Omid Ebrahimi (Esteghlal), Ehsan Hajsafi (Olympiacos/GRE), Ali Karimi (Sepahan), Soroush Rafiei (Al-khor/QAT), Ali Gholizadeh (Saipa), Vahid Amiri (Persepolis) Forwards: Alireza Jahanbakhsh (AZ Alkmaar/NED), Karim Ansarifard (Olympiacos/RE), Mahdi Taremi (Al-Gharafa/QAT), Sardar Azmoun (Rubin Kazan/RUS), Reza Ghoochannejhad (Heerenveen/NED), Kaveh Rezaei (Charleroi/BEL) .
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