I have Beretta, Browning, CZ, Colt, S&W/M&P, FN, SIG, Glock and maybe some brands I just don't remember this time of the morning.
None of them will shoot with a CZ. Finish wear on the rails, the inside of the slide, the hammer channel in the back of the slide? I don't really care. I know I'm more apt to hit what I'm aiming at with a CZ than any of the other brands.
Field strip it. Clean it (even a new gun should be cleaned), lube it up and shoot it. You'll like it just fine.