Džaka began his career with Bayer 04 Leverkusen, where he made three Bundesliga appearances in three years as well as making it onto the bench for the 2002 UEFA Champions League Final. He left in 2003, joining VfL Osnabrück, where he spent just one season before joining TuS Koblenz. He was a popular figure at Koblenz, captaining the side and helping them earn promotion to the 2. Bundesliga in 2006. In 2008, he joined Koblenz's local rivals 1. FC Kaiserslautern. In February 2010, he returned on loan to TuS Koblenz. He was released by Kaiserslautern in June 2011, and spent half a season without a club before signing for Rot-Weiß Oberhausen. Six months later, after Oberhausen were relegated, he returned to TuS Koblenz for a third time.