Preheat your oven to 425°F (220°C) to ensure it's hot enough for crispy wedges.
Rinse and scrub the russet potatoes under cold running water until they are clean. Cut each potato into wedges, aiming for about 8 wedges per potato for uniform cooking.
In a large mixing bowl, whisk together the extra-virgin olive oil, minced garlic, dried oregano, garlic powder, smoked paprika, sea salt, and freshly-ground black pepper until well combined.
Carefully add the potato wedges to the mixing bowl and toss them gently using your hands or a spatula until every wedge is generously coated with the flavorful oil and spice mixture.
Spread the seasoned potato wedges in a single layer on a baking sheet lined with parchment paper, making sure they are not overlapping to ensure even cooking.
Generously sprinkle the freshly grated Parmesan cheese over the potato wedges, allowing it to cling to the oil and seasonings.
Place the baking sheet in the preheated oven and bake for 30 to 35 minutes until the wedges are beautifully golden brown and crispy. Flip them halfway through the baking time for a uniform crispiness.
Once they are perfectly baked, remove the wedges from the oven and let them cool on the sheet for a few minutes to maintain their crisp texture.
If desired, garnish generously with the freshly chopped parsley before serving for a vibrant touch.