Preheat the oven to 400°F (200°C) and line a sheet pan with parchment paper.
Whisk the eggs in one bowl, and combine the parmesan cheese, breadcrumbs, garlic powder, salt, and pepper in another.
Dip each chicken breast in the egg, then coat thoroughly in the parmesan-breadcrumb mixture.
Arrange the coated chicken on the sheet pan alongside the cherry tomatoes and chosen vegetables.
Drizzle the vegetables with olive oil and season with salt and pepper.
Bake for 20-25 minutes, until the chicken is cooked through and the coating is golden.
Serve with lemon wedges.