Preheat your oven to 400°F and line a large rimmed baking sheet with parchment paper.
Trim the ends of the zucchini and slice them lengthwise into quarters to create long spears.
Cut the chicken breast into 1-inch bite-sized cubes to ensure they cook at the same rate as the vegetables.
In a large mixing bowl, combine the chicken, zucchini, olive oil, dried oregano, garlic powder, sea salt, and black pepper, tossing thoroughly to coat.
Arrange the chicken and zucchini in a single layer on the baking sheet, leaving space between pieces for even browning.
Roast in the center of the oven for 15 minutes, then remove the tray and sprinkle the Parmesan cheese over the zucchini and chicken.
Return to the oven for an additional 5 minutes until the chicken is cooked through and the cheese has formed a golden crust.
Garnish with freshly chopped parsley and serve immediately while hot.