Education
Zimmermann had his first composition instruction from 1946 to 1948 with Julius Weismann and studied from 1950 to 1954 in Heidelberg with Wolfgang Fortner as well as at the Kirchenmusikalisches Institut Heidelberg (Institute for Church Music) there.
Career
After passing his examinations at the Freiburg Conservatory under Harald Genzmer, he became Fortner’s successor in Heidelberg. Here he maintained close contacts with the musicologist Thrasyboulos Georgiades, whose rhythm and language studies influenced him the most, along with his occupation with American spirituals and jazz. Zimmermann’s best-known works are his sacred motets with plucked double bass, his organ psalms, and his "Prosalieder".
Among his chief works are his Missa profana, the sacred oratorio The Bible of Spirituals as well as his Symphonia sacra.
The American Wittenberg University in Springfield bestowed upon him an honorary doctorate, Zimmermann wrote three American theses, including one at the Stanford University in California. Zimmermann is married to the organist Renate Zimmermann.