Heat the oven to 425°F (220°C). Set a wire rack on a baking sheet and brush or spray it lightly with oil.
Trim the zucchini and cut each into 3-inch lengths, then into sticks about 1/2 inch thick. Pat them very dry with a clean towel.
In a shallow dish, mix the breadcrumbs, Parmesan, herbs, garlic powder and salt. Put the beaten eggs in another shallow dish.
Dip each stick in egg, let the excess drip off, then roll in the crumb mixture and set on the rack in a single layer without touching.
Spray or drizzle the tops lightly with oil. Bake for 20–22 minutes until golden and crisp. Serve hot, with marinara if you like.