Place chicken breasts between two sheets of plastic wrap and pound to an even thickness of approximately ½-inch. Pat thoroughly dry with paper towels. Season both sides with salt, pepper, ½ tsp garlic powder, and dried oregano.
Position an oven rack in the middle position and preheat to 425°F (218°C). Set up a wire rack inside a rimmed baking sheet and lightly spray with cooking oil.
Arrange three shallow dishes in a row. In the first dish, place flour. In the second dish, whisk eggs with 1 tbsp water until smooth. In the third dish, combine both types of parmesan cheese, panko breadcrumbs, parsley, remaining ½ tsp garlic powder, and paprika. Mix thoroughly.
Working with one piece at a time, dredge chicken in flour, shaking off excess. Dip in egg wash, allowing excess to drip off. Press firmly into the parmesan mixture, ensuring complete coverage and pressing the mixture onto both sides of the chicken to adhere.
Place the breaded chicken breasts on the prepared wire rack, leaving at least 2 inches between pieces. Drizzle each piece with 1 tbsp olive oil to promote browning.
Bake in the preheated oven until the crust is golden brown and the internal temperature reaches 165°F (74°C) at the thickest part, about 15-18 minutes.
Allow the chicken to rest on the wire rack for 5 minutes before serving. This resting period allows juices to redistribute throughout the meat while the residual heat completes the cooking process.