Foreigners who are citizens of non-EU member states can search for employment in the Czech Republic using the database of vacant jobs at This database utilises information from all employment offices in the CZ. The search function on this site is set so that it automatically selects jobs suitable for foreigners, i.e. vacant jobs in which the employer is also willing to employ foreigners. 
The internet is one of the most frequently utilised and most effective media when looking for a job. Look through job portals, for example

Major personnel agencies:

Eures website