- general music director of the opera of F.X. Šalda theater Liberec
- main guest conductor of The Slovak State Philharmonic, Košice
- conductor of The National Theatre Opera, Prague.
He studied the oboe and conducting at the Prague Conservatoire (F.X.Thuri, M.Klemens) and at the Prague Academy of Performing Arts (J.Mihule, J.Bělohlávek). While still a student he achieved significant success in this field – in addition to five first prizes in national competitions he also received the second prize in the Prague Spring International Music Competition in 1996 and was awarded the Josef Hlávka Prize in the same year. He was the principal oboist at the National Theater Opera in Prague and for ten years the solo oboist of PKF - Prague Philharmonia.
After studies he became a regular guest of PKF-Prague Philharmonia where he conducted more than 50 concerts over ten years, including performances at prominent music festivals and prestigious events (Prague Spring Festival, etc.), and performed as the soloist and conductor equally several times. He regularly cooperates with the majority of Czech symphony orchestras.
Cooperation with The Slovak State Philharmonic, Košice culminated in his being appointed the chief conductor in 2008 and he led the orchestra for thirteen concert seasons. In Košice he performed many significant pieces of the symphonic repertoire including large vocal-instrumental compositions. The Slovak State Philharmonic, Košice he led also on Germany and China concert tours. He conducted also orchestras in Hungary, Japan, Poland, Germany and Italy.
From 2001 to 2002, he worked as an assistant to Vladimir Ashkenazy, chief conductor of the Czech Philharmonic Orchestra, where he also cooperated with a number of other significant conductors such as L.Segerstam, C.P.Flor, Z.Mácal and M.Honeck. He has recorded for Czech Radio and Czech Television.
Since 2004 Zbyněk Müller has been engaged in The National Theatre Prague where he has conducted Don Giovanni, Die Zauberflöte, Le nozze di Figaro (W.A.Mozart), Fate, Cunning Litlte vixen (L.Janáček) Adriana Lecouvreur F.Cilea), Aida, La traviata (G.Verdi), Greek Passions (B.Martinů), Carmen (G.Bizet) , Samson et Dalila (C.Saint-Saëns), Rusalka, Jakobín (A.Dvořák) Les Contes d´Hoffmann (J.Offenbach), Iolanta (P.I.Tchaikovsky) , Le Rossignol (I.Stravinsky), Lohengrin (R.Wagner), Smetana´s operas The Secret and The Kiss (with live recordings for Czech Television), and the world premiere of the opera La Conquista (L.Ferrero).
A special recognition came after his performance of Britten´s Gloriana (in Czech premiere), a remarkable success had also his musical preparation and performances of Carl Orff´s operas Die Kluge and Der Mond and the recent production of Weinberger´s Schwanda, the Bagpiper. With Prague National Theater he led performances also in Düsseldorf (Don Giovanni), in Wiesbaden (Adriana Lecouvreur), in South Korea and at the prestigious International Festival in Ravenna, Italy (Don Giovanni), in Miskolc (Don Giovanni), and in Pafos Aphrodite Opera Festival, Cyprus (Les Contes d´Hoffmann) and in Japan (tours with Mozart´s Zauberflöte and Le Nozze di Figaro). For the National Moravian – Silesian Theatre Ostrava he prepared and conducted Giordano´s Fedora and Andrea Chénier, in The State Theatre Košice he conducted Smetana´s Bartered Bride.
Zbyněk Müller also appeared in Theater am Rhein Düsseldorf-Duisburg with Don Giovanni and in Teatro Real Madrid (Janáček´s Fate).
Since October 2019, he has been teaching conducting at the Faculty of Music at the Academy of Performing Arts in Prague.
Prague Symphony Orchestra
Prague National Theatre Orchestra
Prague Philharmonia, Prague Chamber Orchestra
Brno Philharmonic Orchestra
The Slovak State Philharmonic Košice
Talich Chamber Orchestra, Janáček Philharmonic Ostrava
The Czech Chamber Philharmonic Orchestra Pardubice
North Czech Philharmonic Teplice
West Bohemian Symphony Orchestra of Mariánské Lázně (MarienBad)
Chamber Philharmonic Orchestra of South Bohemia
Hradec Králové Philharmonic Orchestra
Bohuslav Martinů Philharmonic Orchestra Zlín
The Pilsen Philharmonic Orchestra
Kladno Symphony Orchestra
Tohogakuen Orchestra Tokyo (Japan)
Polish Baltic Philharmonic Gdansk (Poland)
Filharmonia Pomorska Bydgoszcz
North Hungarian Symphony Orchestra Miskolc (Hungary)
Deutsche Oper am Rhein Düsseldorf-Duisburg
Moscow Symphony Orchestra (Russia)