[1][2][3] Born in Vienna, Edelmann graduated in singing from the International Academy of Music and Performing Arts Vienna [de] under his father, the bass Otto Edelmann.
He made his debut as an opera singer at the Theater Koblenz as Heerrufer in Richard Wagner's Lohengrin.
He was then engaged by Götz Friedrich at the Deutsche Oper Berlin, where he sang the baritone roles in Die Zauberflöte (Papageno), Tannhäuser (Wolfram), Così fan tutte (Guglielmo), Le nozze di Figaro (Conte d'Almaviva), Faust (Valentin) and La Bohème (Marcello).
Edelmann has worked with the conductors Lawrence Foster, Friedemann Layer, Jacques Delacôte, Christian Thielemann, Rafael Frühbeck de Burgos, Jiří Kout, Bruno Weil, Ralf Weikert, Leopold Hager, Franz Welser-Möst, John Eliot Gardiner, Eliahu Inbal, Dan Ettinger and Asher Fisch as well as the directors Götz Friedrich, Günter Krämer, Hellmuth Matiasek and Willy Decker.
Since 2012, Edelmann has been a professor and, since October 2014, head of the Institute for University of Music and Performing Arts Vienna.