In a dry, dark, cool (55 degrees F.) place, they can last up to three to four weeks. Plan on using within one week of purchase and do not refrigerate. Cooked sweet potatoes can be stored in the refrigerator in a covered container for 4 to 5 days.To freeze, pack in an airtight container, leaving 1/2-inch headroom and store for 10 to 12 months at 0 degrees F.Miscellaneous Sweet Potato Information:ooked sweet potatoes can be stored in the refrigerator in a covered container for 4 to 5 days. To freeze, pack in an airtight container, leaving 1/2-inch headroom and store for 10 to 12 months at 0 degrees F. Miscellaneous Sweet Potato Information: