Cool the potatoes, then peel with a paring knife and toss with the salt. Meanwhile, preheat the oven to 400F.
In a large skillet, such as a 12 inch cast iron, heat the oil until lightly smoking, then add the potatoes in a single layer and cook on high, stirring occasionally, until starting to brown.
Transfer the pan to the oven and cook for 15 minutes, tossing once or twice to coat with the fat. When the potatoes are crisp, golden brown and delicious, remove the pan from the oven.
From here, if needed, you can put the pan back on the heat to give them even more color. When the potatoes are ready, toss them with the minced parsley and garlic off the heat, sprinkle with a little extra salt if desired, and serve.