Can you freeze deli meat?
You can freeze some kinds of deli meat
2 of 6 kinds freeze well; 4 should stay out of the freezer.

Where these times come from. USDA FoodKeeper has no entry named "deli meat". The 6 kinds on this page are the USDA entries that cover deli meat, copied without change from Luncheon meat or poultry, Ham, Turkey, Chicken and Salami. Each row in the table is one USDA entry; pick the one that matches what you have.
store-sliced
Up to 1 to 2 months
pre-packaged
Up to 1 to 2 months
ham, pre-packaged
Not recommended
turkey, pre-packaged
Not recommended
chicken, pre-packaged
Not recommended
salami, pre-packaged
Not recommended
What the freezer time means
Freezer times from USDA FoodKeeper are about quality, not safety. Food kept frozen at 0 F (-18 C) stays safe indefinitely; what changes over the months is texture, moisture and flavour. Wrap deli meat tightly, press out air, and label the pack with the date so the window above is easy to track.
Thaw in the fridge, not on the counter. Anything that thawed in the fridge can be refrozen, with some further loss of quality; anything left at room temperature for more than 2 hours should not go back in.
Storage habits that make the difference
Refrigerate deli and prepared foods within two hours of purchase or cooking, in shallow covered containers for faster cooling. Use most within three to four days, and reheat leftovers until steaming hot before eating. Freeze portions you will not finish in time, and label them clearly with the date.
Can you freeze other deli & prepared foods?
Source: USDA FSIS FoodKeeper dataset (public domain). How we decode the data.