2008-09: Conz played 21 games for Servette in the NLA, posting a .906 save percentage and 2.50 goals-against average. Also played for Team Switzerland in the 2009 U-18 World Junior Championships, where he struggled. Conz posted a 4.95 goals-against average and a .875 save percentage in 6 tournament games.
2009-10: Played for Langnau (A League) and Lausanne (B League). In 20 games at the "A" level, Conz sported a 3.20 goals-against average and a .908 save percentage. In 5 postseaon games, he registered a 4.96 goals-against average and a .896 save percentage. Excelled at the 2010 U-20 WJC’s. In 7 games for Switzerland, Conz posted a 4.76 goals-against average and a .893 save percentage.