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After cooking the spiral cut ham, allow the meat to cool down to room temperature before wrapping. Wrap tightly in an air-tight container or bag and label it clearly with a four-day expiration date. After that, the quality, freshness and safety of the meat is questionable.torage After Preparation. Even after a spiral ham is prepared for a meal, it will only last in the refrigerator so long before its shelf life is compromised. Ham will dry out if not wrapped properly or can build up moisture in the packaging if wrapped while still warm.
Tips. 1  How long does cooked ham last in the fridge? 2  To maximize the shelf life of cooked ham for safety and quality, refrigerate the ham in shallow airtight containers or wrap tightly with heavy-duty aluminum foil or plastic wrap. 3  Properly stored, cooked ham will last for 3 to 4 days in the refrigerator. To further extend the shelf life of cooked ham, freeze it; freeze in covered airtight containers or heavy-duty freezer bags, or wrap tightly with heavy-duty aluminum foil or freezer wrap. How long does cooked ham last in the freezer?