Ibn al-Qayyim writes: “When the Messenger of Allah went to the musalla (place of prayer), he would perform the salah without any azhan or iqamah and without saying ‘as-salatu jami’ah’ (prayer in congregation). The sunnah is not to do any of that.”
Ibn ‘Abbas and Jabir both report that there was no azhan on the day of the breaking of the fast or on the day of sacrifice. This is related by al-Bukhari and Muslim. Muslim records that ‘Ata said: “Jabir informed me that there is no azhan for the ‘id of breaking the fast, neither when the imam arrives nor afterward. And there is no iqamah or call of any kind.”
Sa’d ibn abi-Waqqas reports: “The Prophet prayed salatul ‘id without any azhan or iqamah. He would deliver two khutbahs standing and would separate them by sitting between them.’ This is related by al-Bazzar.