Yes, you can freeze already cut and/or toasted bagels. However, it is best if you freeze them before they are cut and/or toasted for the best results. To freeze, wrap each piece individually in plastic wrap or place them in an airtight freezer-safe container or bag. When you want to eat the frozen bagel, let it thaw for a few hours at room temperature or overnight in the refrigerator. Then, you can toast or heat it up for a fresh out-of-the-oven taste.