Pitr had contested the extradition ordered by the Swiss justice ministry, claiming that he was being hunted for political reasons.
However, that argument was on Wednesday rejected by the Federal Penal Tribunal, Swiss newswire ATS reported.
Pitr had fled his country in 2007 to avoid a six-year jail term for fraud, abuse of confidence and tax offences.
An international arrest warrant was issued for the 40-year-old entrepreneur, who is one of the Czech Republic's most hunted.
In July 2010, he was arrested in a luxury hotel at the ski resort of St Moritz, and has since been detained pending extradition in Switzerland.
In December, the Swiss justice ministry authorised his extradition.