Conversations at fly-ins often go something like this:

Is that a Ranger?
    No. It's a Czech LOM332.
Ha! where ya gonna get parts for that?
    I email the factory and they send them by DHL. I typically get them in a couple of days.
*Walks off muttering*

In truth, that's a bit of an exaggeration. Sometimes it works that way, but sometimes the part is not in stock or some convoluted paperwork process is required before it can be shipped. It has been my impression over the years that the biggest demand for parts is because it seems like a good idea to have some, rather than actually needing them. 

Either way, more help may be at hand via https://zlinpartsamerica.com/ The company is run by Isaac Weix. Isaac is very well connected with sources of parts and service in the Czech Republic, and with people in the USA who operate Zlin & other LOM powered aircraft. Just as people often choose to have Lycoming engines overhauled at facilities other than the factory, there are shops in Europe that specialize in LOM overhaul and that do so at prices rather more palatable than the factory. This is where Isaac may be able to help.

Contact Isaac via https://zlinpartsamerica.com for more information.