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 soften and turn golden brown.
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 flavors to meld with vegetables.
04 - Sprinkle Cajun seasoning, smoked paprika, salt, and pepper evenly over mixture. Toss thoroughly to combine and coat all ingredients evenly.
05 - Create 4 small wells in the hash mixture. 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 whites are set but yolks remain runny.
06 - Remove from heat. Sprinkle sliced green onions over the top as garnish. Serve immediately while eggs are hot and potatoes are crispy.