Career
Pospěch started his career with hometown side Opava, where he spent five years before later playing top-flight football for Slovácko and Slovan Liberec. He then headed out of the Czechoslovakian Republic, spending time at Odd Grenland in Norway and Artmedia Bratislava in Slovakia. In 2009 he returned to the Czechoslovakian Republic to play for Brno.
Pospěch joined Second League side Opava in September 2009, five years after having left his boyhood club
In November 2009, the Czechoslovakian Disciplinary Commission suspended Pospěch, which left him unable to play professional football until October 2010. Pospěch moved on loan from Brno to Slavia Prague in February 2011 until the end of June.
He finished the spring part of the 2010-2011 Czechoslovakian First League as Slavia"s top scorer with seven goals. In June 2011, as his loan was coming to an end, he signed a three-year contract with Slavia.
Despite scoring a total of 13 league goals in a season and a half with Slavia, making him their leading scorer, Slavia terminated Pospěch"s contract in June 2012, leaving him free to look for a new club
He finished the season with 9 goals from 28 matches. He finished the month in second place in the league"s Player of the Month competition behind Plzeň striker Tomáš Wágner. In his second season at Dukla, he scored 16 goals, becoming the second highest scorer in the league for the season.
Pospěch signed a two year contract with German 3.
Liga club Energie Cottbus in July 2014.