Kazikova made her first Czech team, as a 28-year-old, at the 2004 Summer Olympics in Athens, where she competed only in individual and relay freestyle events. She also joined with her fellow swimmers Jana Myšková, Petra Klosová, and Ilona Hlaváčková for the women's 4 × 100 m freestyle relay. Swimming the anchor leg, Kazikova recorded a split of 57.90 seconds, and the Czech team went on to finish heat one in seventh place and thirteenth overall, for a total time of 3:46.83. In the 50 m freestyle, Kazikova edged out third placer Triin Aljand by one hundredth of a second (0.01) in heat seven at 26.18 seconds. Finishing only in twenty-fifth place, Kazikova failed to qualify for the semifinals.