In a large saucepan, add oil at least 3cm (1 inch) deep. Get it nice and hot, about 190F/425F, but not smoking.
Now, take each ball and flatten them out into thin rounds, anywhere between about 8-12cm (3-5 in) in diameter, leaving a slightly raised lip around the edges. Prick them here and there in the middle with a fork, then slide them gingerly into the hot oil.
Fry the pizzelle quickly on both sides just until they have puffed up and lightly browned, using a skimmer to press the rounds into the oil and turn them from time to time.
As they are finished frying, place your pizzelle fritte on a rack or paper towels to drain. If you're making a large batch, you can keep them warm in a low oven while you fry the rest.