Place the cut-up potatoes in a large bowl and cover with cold water; set aside for about 30 minutes.
Prepare the seasoning mix by combining chili powder, cumin, garlic powder, grated parmesan, salt, and pepper in a small mixing bowl; mix until thoroughly incorporated. Set aside.
Preheat the oven to 450˚F. Line a baking sheet with aluminum foil and generously grease with cooking spray; set aside.
Drain, rinse, and arrange the fries on a paper towel-lined baking sheet to dry. Grab more paper towels and dry the potato fries thoroughly.
Transfer the fries to a large mixing bowl and stir in the vegetable oil. Add 1 tablespoon of the seasoning mixture to the potatoes; mix and stir until well combined.
Evenly arrange the potato fries on the foil-lined baking sheet.
Bake for 20 to 25 minutes or until golden, flipping once halfway through cooking.
Remove from oven and taste for seasonings; adjust to taste with the remaining seasoning mix.
Serve with your favorite dipping sauce.