Zábranský was drafted 209th overall in the 9th round of the 1995 NHL Entry Draft by the St. Louis Blues. Zábranský played the majority of his career in the Czech Republic but he did play 40 games over two seasons with St. Louis in the NHL. After retiring from playing due to health problems at the age 30, he became majority owner of the Czech Extraliga team HC Kometa Brno.
- "'Chci pomoci Kometě do extraligy, léta tam patřila a patří tam, říká Libor Zábranský'" (in Czech). 2005-07-13.
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