Toss the potatoes with the oil, 1/2 teaspoon salt and a few grinds of pepper in a microwave-safe 9-inch pie dish. Cover completely with a piece of wax paper. Microwave on high (at 100 percent power), stirring halfway through, until the potatoes are soft and translucent, 6 minutes in an 1,100-watt oven, 9 minutes in a 700-watt oven. (When removing the wax paper, be careful to avoid the hot steam.) Pierce the potatoes in a few places with a paring knife; if it doesn't go through easily, microwave again, covered, in 30-second increments.
Whisk together the eggs, half and half, scallions, 1/4 teaspoon salt and a few grinds of pepper in a medium bowl. Pour over the potatoes, and stir. Microwave, uncovered, on high (at 100 percent power) until the edges of the eggs are set, 1 minute in an 1,100-watt oven or 2 1/2 minutes in a 700-watt oven. Stir completely to redistribute the more-cooked eggs toward the center and the less-cooked eggs near the edges. Microwave, uncovered, until most of the eggs are set, 1 minute in an 1,100-watt oven or 1 minute 45 seconds in a 700-watt oven. Dot with small pieces of goat cheese, and stir as before. Gently smooth the top of the potato-and-egg mixture (it's OK if the top is slightly uneven), and sprinkle with the chorizo. Cover with a piece of wax paper, and microwave on high (at 100 percent power) until all the eggs are set and the cheese has melted, 1 minute in an 1,100-watt oven or 2 minutes in a 700-watt oven. Let sit, covered, for 3 minutes.
Garnish with chopped parsley, and serve warm or at room temperature.
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