The Turkish media reported that the offer will cost €450,000.
Beiranvand, whose contract with Persepolis runs until 2021, has been linked with several clubs following good performance in the 2018 World Cup.
He blocked a penalty kick from Cristiano Ronaldo to deny Portugal a 2-0 lead in Group B.
Beiranvand played a key role in Persepolis helping the Reds win Iran Professional League back-to-back titles.
Persepolis General Manager Hamid Reza Garshasbi has said Beiranvand will not leave the team.