Before I take a new CZ to the range, I do an extremely thorough and aggressive cleaning, heavily lube with a clear oil (not a clp or specialized oil, I?ll even use mineral oil from the grocery store). I?ll cycle with snap caps a lot, clean, and repeat. Make sure you include the magazines in this process as they are often a culprit.
CZs often come with lots of preservative on them (I picked up a ?19 dated RAMI that was pretty tough to get clean). The oil will come away gritty and dark as it ?breaks in? and works out the preservative and grime. When the oil comes away clean, I?ll dry it and put on the appropriate lube of choice, then shoot a lot.
That usually clears any stoppages. If not, some fitting may need to be done. You can either go with CZ-USA?s customer service which is great or go with someone like Cajun Gun Works if you want any custom add ons. Or you can try to troubleshoot some here.