Watch out!!! Some of the rings mentioned may not fit as they are for the 3/8ths inch scope grooves which are standard here in the U.S.. The CZ American has the 3/8ths scope grooves BUT the CZ Varmint, Trainer, Special and Scout all use the 11mm Euro grooves so make sure you get the right rings.
I tried the all steel Warne's and the Millets, settled on the inexpensive B-Square .22 sport utility rings, just liked them better. I think You might need the mediums for a 40mm Scope, this scope is a 28mm and the rings on the gun are the lows;
Jerry[u][/u]