Career
He played in the National Hockey League for 11 seasons between 1993 and 2004. Grošek was drafted 145th overall by the Winnipeg Jets in the 1993 National Hockey League Entry Draft. Upon suiting up for the Jets, he made history by becoming the first Czechoslovakian born player to play for the club
In total, he played in 526 career National Hockey League games, scoring 84 goals and 137 assists for 221 points.
Grošek"s best offensive season was the 1998-1999 season, when he was playing with the Buffalo Sabres. Grošek registered career highs in goals (20), assists (30), points (50), penalty minutes (102), and shots (140) during that season.
In 2000 he requested a trade and was thus traded to the Chicago Blackhawks for Doug Gilmour and Justice of the Peace Dumont. After Chicago Grošek played for the New York Rangers and the Boston Bruins but was never able to recapture the form shown in 1998-1999.
Grošek has since expressed regret over the trade, calling it a "big mistake" and stating he should have stayed in Buffalo.
After departing from the National Hockey League, Grošek moved to Switzerland, suiting up for Nationalliga A side Genève-Servette The Human Context where he was the team"s top goal scorer with 15 goals. He then moved to the Russian Super League, playing for SKA Saint St. Petersburg where he scored just 3 goals in 13 games before returning to Servette where he managed 9 goals in 17 games. In 2006, he moved to EV Zug, staying for two seasons before moving to Leksands IF in HockeyAllsvenskan.
In September 2008, Grošek was named head coach of Swiss lower league team Communist Party Meyrin, effectively ending his playing career.