Preheat your oven to 425°F (220°C) and line a baking sheet with parchment paper.
Set up a breading station: Place the flour in one shallow dish, beat the eggs in a second dish, and mix the breadcrumbs, garlic powder, paprika, salt, pepper, and Parmesan cheese (if using) in a third dish.
Dredge each fish strip in the flour, shaking off any excess. Then dip it into the beaten eggs, allowing the excess to drip off, and finally coat it in the breadcrumb mixture, pressing gently to adhere.
Arrange the breaded fish fingers on the prepared baking sheet. Lightly spray or drizzle with olive oil to help them crisp up while baking.
Bake in the preheated oven for 12-15 minutes, or until the fish is cooked through and the coating is golden brown and crispy.
Serve hot with lemon wedges on the side for squeezing over the fish fingers.