First, stack your crêpes right after cooking and cover them with a clean kitchen towel. This will prevent the crêpes from drying and keep them moist. To store the crêpes, cover the plate with aluminum foil or plastic film once they have cooled down. You can keep it at room temperature for the day or store it in the refrigerator for up to 2 days. Be aware that crêpes are always best served the same day, though.