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 they begin to soften and develop golden edges.
02 - Add remaining olive oil, diced onion, and red bell pepper to the skillet. Cook for 4-5 minutes, stirring occasionally, until vegetables are softened and fragrant.
03 - Stir in sliced Cajun beef sausage. Cook for 5-6 minutes, allowing sausage to brown slightly and flavors to meld with the vegetables.
04 - Sprinkle Cajun seasoning, smoked paprika, salt, and pepper evenly over the mixture. Toss well to combine and coat all ingredients evenly.
05 - Create small wells in the hash and crack an egg into each well. If using butter, add it to the wells before cracking eggs. Cover skillet and cook for 4-6 minutes until egg whites are set but yolks remain runny, or cook to desired doneness.
06 - Remove from heat immediately. Garnish generously with sliced green onions. Serve hot directly from the skillet.