Preheat your oven to 425 degrees F. Brush a baking sheet with 1 tablespoon of olive oil and set aside.
Place the potato chunks into a microwave-safe bowl, cover with a microwave-safe plate, and microwave on high for 10 minutes or until the potatoes are tender. Let them cool for a couple of minutes.
Transfer the cooked potatoes to a food processor. Pulse a few times until the potatoes are broken down but not mashed, they need to keep some structure.
Move the potato mixture to a large bowl. Add in the sea salt, garlic powder, arrowroot powder, grated white cheddar cheese, and the black pepper. Mix well.