Preheat the oven to 425°F (220°C). Line a baking sheet with parchment paper for easier cleanup if desired.
In a shallow dish, whisk together the eggs.
In another bowl, mix the breadcrumbs, grated Parmesan cheese, garlic powder, Italian seasoning, salt, and black pepper.
Dip each chicken breast in the egg wash, allowing any excess to drip off, then coat with the breadcrumb mixture, pressing gently to adhere.
Place the coated chicken breasts on one side of the prepared baking sheet. Drizzle or spray with olive oil to help with browning.
Cut the zucchinis into fry-shaped sticks, about ¼-inch thick.
In a bowl, combine the breadcrumbs, Parmesan cheese, onion powder, garlic powder, salt, and black pepper.
Toss the zucchini sticks in the breadcrumb mixture until well coated. Place them on the other side of the baking sheet, leaving space between each fry.
Bake for about 25-30 minutes or until the chicken is golden brown and cooked through (internal temperature should reach 165°F or 75°C) and the zucchini fries are crispy.
Serve hot with your favorite dipping sauce if desired.