Raw oysters can be frozen. Frozen raw oysters should be cooked after thawing, however, and, according to Safe Oysters, cooked shellfish should be refrigerated and eaten within one or two days.
According to the Interstate Shellfish Sanitation Conference, raw oysters should be frozen at 0 degrees Fahrenheit or lower and maintain that temperature until needed for a recipe. Freezing raw oysters can change the texture of the meat by softening it after it has thawed, which renders them unfit for raw consumption. It is important to cook previously frozen raw oysters. According to Project Foodie, raw oysters can be put in the freezer in their shells or shucked and stored in the natural juices. Cooked oysters should be stored in the refrigerator at 40 degrees Fahrenheit or below and discarded if they have been sitting at room temperature for longer than two hours.