He became a lecturer in obstetrics at St. Mary's Hospital in Vienna in 1754. From 1756 to 1774, he taught physiology and medicine at the university in that city.
He was the author of Einleitung in eine wahre und gegründete Hebammenkunst (1756), Commentarius de rupto in partus doloribus a foetu utero (1756), Commentatio de instrumentorum in arte obstetricia historia utilitate et recta ac praepostera applicatione (1757), De systemate irritabilitatis (1761), Materia medica et chirurgica (three volumes, 1762) (Vol. 1 - 3 1765 Digital edition by the University and State Library Düsseldorf), De aquis medicatis principatus Transsylvaniae (1773), and Die Gesundbrunnen der Österreichischen Monarchie (1777).
He recommended better methods of hygiene for midwives. In addition to his work in medicine, he studied chemistry, botany, and the sources of mineral water. The genus Crantzia (Gesneriaceae) was named for him by Thomas Nuttall.