Heat oil to a frying temperature of 350°F180°C.
Wash the flowers and dry thoroughly.
Put the egg and milk into a shallow dish and whisk to combine. Season with salt and pepper. Sift the flour and cornstarch with a little more salt and pepper into another shallow dish.
Dip the zucchini blossoms into the egg wash, then dredge in the flour mixture. Plop into the hot oil and fry until golden. Drain on paper towel and serve.