Abdurrahman Atasoy, deputy chairman of Ditib Federal, said they were "very happy" about the agreement concluded with the city of Cologne.
"The public call to prayer is a sign that Muslims are at home, he said. "The core message of this long process is that Muslims are ... a visible part and with their call to prayer an audible part (of society)."
Cologne's mayor, Henriette Reker, paved the way for the muezzin's call, arguing that the act cannot be denied to Muslims because of the freedom of religious practice guaranteed under Germany's Basic Law.
Reker has been a strong supporter of the idea, but she has been heavily criticized by far-right parties. "Cologne is a city of religious diversity and freedoms. Allowing muezzin's call to prayer for me is a sign of respect," she said earlier.
Germany's constitution guarantees freedom of religion, but broadcasting calls to prayers from mosques have been contentious in some municipalities, due to different legislative frameworks.
Far-right politicians have long rejected proposals allowing mosques to broadcast the Muslim call to prayer over loudspeakers, claiming that this would be another sign of the "Islamization of Germany."