You can freeze sliced cheese.
However freezing sliced cheese can alter and change the texture and make the sliced cheese more crumbly.
Frozen sliced cheese can still be eaten as normal although due to the change in texture and the cheese becoming crumbly the frozen sliced cheese is best used in cooked foods such as grilled cheese or casserole dishes.
If you're freezing sliced cheese that is prepackaged you can simply place the package of sliced cheese into the freezer directly.
If you're freezing deli sliced cheese then you should place a piece of parchment paper between each slice of the cheese.
Then warp the cheese in some freezer paper, tape it shut and then place the whole package of cheese in a freezer safe container or a freezer bag.
The frozen sliced cheese can last for around 6 months in the freezer, although it's best to eat the frozen sliced cheese within a few months of freezing.
Hard cheeses freeze better than soft cheeses because the hard cheeses contain little moisture and is not likely to expand and compromise the texture and flavor of the cheese when frozen.
Soft cheese can also be frozen but the quality can suffer.
Fresh cheese like ricotta cheese, chevre cheese, queso fresco cheese are all good frozen and defrosted.
Even extra long aged hard grating types of cheese such as aged gouda, dry jack cheese, parma cheese etc are all good frozen.
Although the mid aged cheeses don't stand up well to freezing because of changes in their textures.