Iranian foreign ministry spokesman Bahram Qasemi said the operation was "over for now" and the planes had gone.
Iran's Defence Minister Hossein Deghan had earlier criticised Russia for publicising the raids last week, saying it had exhibited a "show-off" attitude.
Russia for its part has confirmed that all of its planes used from Iran for Syria strikes are now back in Russia.
Russia. like Iran, is a key ally of Syria's President Bashar al-Assad.
