Pospisil was the leading figure in Trinec juniors and was given a chance in the Extraleague in the 2004-05 season as a 17-year-old.
Pospisil used to be one of the top talents among Czech 87-borns when he was in the midget category. He was predicted to be a great player but stopped improving as much as others did. He lost confidence and was not performing very well, however, his talent was still apparent. During 2004-05 season he made another major improvement, he was given trust by coaches in Trinec juniors and also in the national team, he started to score points and became more confident.
At the U-18 WJC Pospisil joined Vladimir Sobotka and David Kveton to form the first line. Pospisil played well on this skill line, but he mostly supplied his linemates with smart passes and did not score. In the game against Canada, while fighting for the puck near boards he injured his ribs.
Pospisil moved to the OHL Sarnia Sting in 2005-06.
He joined the Wolves on an amateur tryout contract after his junior season was over but did not play games.
Pospisil uses his solid smarts and offensive instincts to generate offense; he can score and pass equally well. He can be lethal around the goal area and has no trouble with putting the puck into the net thanks to his persistence and elusive moves. He possesses good stickhandling skills. Pospisil is a smooth puckhandler, but could use more polishing of his shooting skills, as his shots aren't very hard.
Pospisil is a solid but unspectacular skater and for a player of his current size 6'0, 185 lbs. He should work to improve his agility and balance. He has solid straightaway speed though. Pospisil tends to be very nervous before important matches and this fact spoils his performance sometimes.