Heat olive oil in a large skillet over medium heat. Add the hash browns and cook for 5–7 minutes, stirring occasionally, until lightly golden.
Add onion, red bell pepper, green bell pepper, and garlic. Sauté for 4–5 minutes until vegetables soften.
Stir in the chicken sausage slices, paprika, dried parsley, salt, and pepper. Cook for another 3 minutes.
Create four small wells in the skillet and crack one egg into each well.
Cover the skillet with a lid and cook for 5–7 minutes, or until eggs reach your desired doneness.
Sprinkle shredded cheddar cheese over the top, cover again, and cook until melted.
Garnish with fresh chives and serve warm right from the skillet.