Preheat oven to 350ºF.
Place the potatoes on a small baking sheet. Drizzle with a little EVOO and rub them with some salt and freshly ground black pepper. Bake them 45 minutes to an hour, until tender. When the potatoes have finished baking, remove them from the oven and allow them to cool enough that you can handle them.
While the potatoes are cooling, heat a small skillet over medium heat and sauté the chorizo until crisp, 4-5 minutes. Remove the cooked chorizo from the pan to a paper towel-lined plate and reserve. Preheat broiler to high.