* In the refrigerator. You can store fresh ginger root (peel on) in the refrigerator for about a week. Wrap it tightly in plastic, and keep in your produce drawer. * In the freezer. Use a freezer bag to store ginger root (peel on) in the freezer for several months. When you need some for a recipe, just peel some of the frozen ginger and return it to the freezer. It peels very easily from a frozen state!