We don't recommend freezing cheese because it can affect the texture and even the flavor of the cheese. Cheese contains moisture. When water in the cheese freezes, it expands and forms crystals. This is what affects the structure and texture of the cheese. While cheese that's frozen and then thawed will still generally be safe to eat, it won't be the same quality as it was when it was fresh. One exception to this recommendation is cheese rinds from hard cheeses like Parmesan, which some people like to save for use in soup stock. Parmesan has very little moisture, and the rinds freeze well. You can collect them in a sealed plastic freezer bag and freeze them until you need them.