During an April 2012 Ukrainian derby, Hübschman put in a man of the match performance[1] in midfield to help his side defeat Dynamo Kyiv 2–0, a result which drew Shakhtar level on points in the league.

The previous month, Hübschmann scored his first Ukrainian Premier League goal in two seasons to help the Miners defeat Illichivets Mariupol 2–1.

[6] Hübschman has represented the Czech Republic at various youth levels and captained his country's under-20 team at the 2001 FIFA U-20 World Cup.

[7] On 18 November 2001, Hübschman debuted for the Czech senior squad in 0–1 2002 FIFA World Cup qualification loss against Belgium.

[8] Hübschman played for the senior team at UEFA Euro 2004 and in 2006 FIFA World Cup qualification, but was not part of main squad when the Czech Republic qualified for the latter final tournament.