Properly wrapped fudge can be stored in the freezer for up to 6 months. Place your serving size pieces of fudge into a freezer bag and seal it. Place that bag inside another freezer bag and seal it as well. Try to get as much air out of the bags as you can.
Yes, fudge can be frozen. Make sure it is tightly wrapped with no air getting to it. You can keep it frozen for up to 6 months. After 6 months, due to the fat from the dairy product and butter, the proteins can break down and cause illness.