He played in the 1999 World Junior Curling Championships where he threw second stones for Vit Nekovarik.

The team returned the following year, and at the 2000 World Junior Curling Championships they had a worse showing, finishing last, in 10th place.

This finish relegated the Czech Republic to the World Juniors B Pool, and Kitzberger would not return to the main event.

Kitzberger would go on to play in five European Championships with Snítil (2006, 2007, 2008, 2009, 2011), finishing 11th, 8th, 7th, 8th, 4th respectively before winning a bronze medal in 2012.

Kitzberger would play in his first World Curling Championships in 2008 as a member of the Snítil rink.