What is the ruling on performing the tasbihat after prayer with the accompaniment of the muezzin?

There were companions of the Prophet (peace be upon him) who were renowned for their role as muezzins. Among them were Bilal al-Habashi, Abdullah ibn Umm Maktum, Sa’d ibn ‘Iz al-Qaraz, and Abu Mahzura (Samura ibn Mi‘yer). (Nasa’i, Adhan, 9-10 [637-640]; Ibn Majah, Adhan, 1-3, 6 [706, 708-711, 713, 715, 730]; Tabarani, al-Mu‘jam al-Kabir, 6/39-40 [5448, 5449; 5452]) These muezzins would recite the adhan to announce the time for prayer and would also call the iqamah before the obligatory prayers.

There is no information indicating that, during the era of happiness (Asr al-Sa‘adah), muezzins led the tasbihat after prayer. However, over time, this practice has become established in some regions, including our country. Since there is no religious objection to guiding those who do not know, ensuring that the tasbihat is not neglected, and collectively remembering and supplicating to Almighty Allah, it cannot be said that the current practice of the muezzin is an innovation (bid‘ah).

Source: T.C. Diyanet İşleri Başkanlığı, Din İşleri Yüksek Kurulu