Preheat your oven to 400°F (200°C) and line a large baking sheet with parchment paper to prevent sticking.
Scrub the Russet potato clean and slice it into 8 even wedges; slice the chicken breast into similar long, wedge-shaped strips.
In a large mixing bowl, whisk together the olive oil, garlic powder, sea salt, black pepper, and dried oregano.
Add the potato wedges and chicken strips to the bowl, tossing thoroughly until every piece is evenly coated in the herb-oil mixture.
Spread the potatoes and chicken in a single layer on the prepared baking sheet, ensuring they are not crowded to allow for maximum airflow and crisping.
Sprinkle the grated parmesan cheese evenly over the top of both the potatoes and the chicken.
Roast in the center of the oven for 25-30 minutes, flipping the pieces halfway through, until the potatoes are golden-brown and the chicken is fully cooked.
Remove from the oven and garnish with fresh chopped parsley before serving immediately while hot and crispy.