Zítka began his career at FK Havířov and in 1994 moved to FK Viktoria Žižkov where he accumulated only one league start. He played in the first round of the 1994–95 UEFA Cup Winners' Cup against Chelsea, conceding four goals in a 4–2 first leg defeat in London.[3] The following year, he signed with FC Zlín and in November 1997 transferred to Tatran Prešov in Slovakia.
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