Place the potato wedges in a mixing bowl and drizzle with olive oil, tossing them to ensure even coating.
Add the ranch dip mix to the bowl and stir to distribute the seasoning across the potatoes.
Arrange the coated wedges on a baking sheet that has been lightly greased. Sprinkle Parmesan cheese over the top, and season with salt and pepper according to your preference.
Bake in the oven for 30 to 40 minutes, or until the potatoes achieve a golden brown color. Note that larger wedges might require a bit more time—just keep an eye on them to prevent burning.