Food Storage 72. To keep Parmesan cheese fresh, wrap first in slightly dampened paper towels, then in a damp cloth towel or cheesecloth, and store in the refrigerator. Buy a chunk of Parmesan only large enough to last about a month, grate it into a jar, seal tight, refrigerate, and have ready for omelettes, sauces, gratins, and salads. Grate Parmesan and other hard cheeses in a food processor, transfer to a self-sealing plastic bag, and freeze.
Grated cheese keeps better in the freezer than in the refrigerator.
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