Preheat your oven to 400°F (200°C) and line a large rimmed baking sheet with parchment paper.
Slice the zucchini into 1/2-inch thick rounds and cut the chicken breast into uniform bite-sized pieces.
In a large mixing bowl, combine the chicken and zucchini with olive oil, dried oregano, garlic powder, sea salt, and black pepper.
Toss the ingredients thoroughly until every piece is evenly coated in the oil and spice mixture.
Spread the chicken and zucchini in a single layer on the prepared baking sheet, ensuring they are not crowded to allow for roasting rather than steaming.
Roast in the center of the oven for 18-20 minutes, or until the chicken is cooked through and the zucchini is tender.
Remove the tray from the oven and sprinkle the grated parmesan cheese evenly over the top.
Return the tray to the oven for an additional 2-3 minutes until the cheese is melted and slightly crisp.
Garnish with freshly chopped parsley and serve immediately while hot.