Preheat your oven to 400°F (200°C) and line a large baking sheet with parchment paper for easy cleanup.
Slice the russet potato into even wedges and pat them thoroughly dry with a paper towel to ensure they get maximum crispiness in the oven.
In a mixing bowl, toss the potato wedges with the olive oil, half of the garlic powder, sea salt, and black pepper until well coated.
Place the chicken breast on one side of the baking sheet and season both sides with the remaining garlic powder, dried oregano, and a pinch of salt and pepper.
Arrange the potato wedges in a single layer on the other side of the sheet, ensuring they aren't overlapping so they roast evenly.
Bake for 25 to 30 minutes, flipping the potatoes halfway through, until the chicken reaches an internal temperature of 165°F and the wedges are tender and golden.
Remove from the oven and immediately sprinkle the hot potato wedges with the parmesan cheese and fresh parsley before serving.