01 - Heat 1 tablespoon olive oil in a large cast-iron skillet over medium heat. Add diced potatoes and sauté for 6–8 minutes, stirring occasionally, until edges begin to golden and interiors start to soften.
02 - Add remaining olive oil, diced onion, and red bell pepper to the skillet. Cook for 4–5 minutes, stirring frequently, until vegetables are softened and fragrant.
03 - Stir in sliced Cajun beef sausage. Cook for 5–6 minutes, allowing sausage to brown slightly and release seasoned oils into the vegetable mixture.
04 - Sprinkle Cajun seasoning, smoked paprika, salt, and pepper evenly over the skillet. Toss thoroughly to coat all ingredients evenly and adjust seasoning to taste.
05 - Create 4 small wells in the hash mixture. Crack an egg into each well. If using butter, add it now for richness. Cover skillet and cook for 4–6 minutes until egg whites are set but yolks remain runny, or cook longer to desired doneness.
06 - Remove from heat immediately. Sprinkle sliced green onions over the top as garnish. Serve directly from the skillet while hot.