01 - Heat 1 tablespoon olive oil in a large cast-iron skillet over medium heat. Add the diced potatoes and sauté for 6–8 minutes, stirring occasionally, until they begin to soften and develop a golden-brown color on the edges.
02 - Add the remaining olive oil, diced onion, and red bell pepper to the skillet. Continue cooking for another 4–5 minutes, stirring occasionally, until the vegetables are softened and fragrant.
03 - Stir in the sliced Cajun beef sausage and cook for 5–6 minutes, allowing the sausage to brown slightly and release its aromatic oils into the vegetable mixture.
04 - Sprinkle the Cajun seasoning, smoked paprika, salt, and pepper evenly over the skillet contents. Toss everything thoroughly to ensure the spices are well distributed and coat all ingredients evenly.
05 - Create four small wells in the hash mixture and crack an egg into each well. For added richness, melt the butter in the center before adding eggs. Cover the skillet and cook for 4–6 minutes until the egg whites are set but yolks remain runny, or cook longer to achieve desired doneness.
06 - Remove the skillet from heat. Sprinkle the sliced green onions over the top as a fresh garnish. Serve immediately while hot, directly from the skillet for a rustic presentation.