Association for Migration and Integration (SIMI) created a leaflet on how to apply for asylum in Czech Republic:
https://www.migrace.com/docs/130815_leta-uk_a3_aj-finalcteni.pdf
UNHCR offers also a simplified leaflet on how to apply for asylum in Czech Republic in english: https://www.unhcr.org/cz/wp-content/uploads/sites/20/2019/03/letak_01_ENG-asylum-procedure.pdf