Still an adviser to the government, Kharazi had given an interview to CNN a few weeks ago.
According to the newspapers Shargh, Etemad and Ham Mihan, his home in Tehran was targeted on Wednesday in a US-Israeli strike.
He was badly injured and hospitalised following the attack, the outlets said.
Kharazi had served as foreign minister from 1997 to 2005 under reformist ex-president Mohammad Khatami.