Preheat the oven to 400 degrees. Line a baking sheet with parchment paper or aluminum foil.
Wash the potato well, then cut into 1/2-inch thick strips and wedges. Spread the potatoes out over the prepared baking sheet. Drizzle the olive oil over top.
Combine the oregano, garlic powder, salt, and freshly cracked pepper in a bowl, then sprinkle over the potatoes. Toss the potatoes on the baking sheet until they are coated in oil and spices. Sprinkle the grated Parmesan over top.
Bake the potatoes in the fully preheated oven for 25-30 minutes, or until golden brown and slightly crisp on the edges. Rotate the pieces half way through the baking time. Top with chopped fresh parsley, then serve immediately.