Special equipment: a deep-frying thermometer
In a Dutch oven or a large, wide pot, add the oil and heat over medium heat until a deep-frying thermometer registers 350 degrees F.
Fry the potato skins in the hot oil until golden brown and crispy, about 5 minutes. Transfer to a plate lined with clean paper towels to drain the excess oil. Sprinkle on some salt and pepper.
Melt the butter in a pan over medium-low heat. Add the garlic and cook until aromatic, 1 to 2 minutes.
In a large bowl, combine the skins, garlic butter and fresh parsley and toss to coat. Season with a little more salt and pepper. Serve warm.