Preheat oven to 350 degrees F. In large bowl, whisk together eggs, chorizo, red pepper and garlic; season with salt and pepper.
In 10-inch cast iron skillet, evenly layer sliced potatoes and cover with egg mixture. Cover skillet with foil and bake until potatoes are cooked through, 15–20 minutes. Remove foil and cook until top is golden brown.
Turn out tortilla onto cutting board and cut into squares. Dust with paprika and serve with parsley leaves and potato chips.