Preheat your oven to 400°F (200°C) and line a large rimmed baking sheet with parchment paper for easy cleanup.
Cut the chicken breast into 1-inch bite-sized pieces and slice the zucchini into 1/2-inch thick half-moons.
In a large mixing bowl, combine the chicken pieces and zucchini slices with the extra virgin olive oil, dried oregano, garlic powder, sea salt, and black pepper.
Toss everything thoroughly until the chicken and vegetables are evenly coated in the oil and spices.
Spread the mixture in a single layer on the prepared baking sheet, ensuring the pieces are not overcrowded so they roast rather than steam.
Roast in the center of the oven for 15 to 18 minutes, or until the chicken is cooked through and the zucchini is tender.
Remove the sheet from the oven and sprinkle the grated Parmesan cheese evenly over the chicken and zucchini.
Return the pan to the oven for an additional 2 to 3 minutes, or until the cheese is melted and develops a light golden color.
Garnish with freshly chopped parsley and serve immediately while hot.