Preheat oven to 450 degrees.Heat oil in a large oven-safe skillet over medium-high heat.Add onions and sauté for 3 minutes, stirring occasionally. Add garlic, peppers, and salt and pepper and sauté 3 more minutes.Add chicken sausage and cook 5 minutes, or until cooked through.Add shredded sweet potatoes and sauté, stirring often, for 5 minutes until they’re softened.Stir in parsley, cheddar cheese, and apple cider vinegar.Make 6 shallow impressions spaced evenly around the skillet, then crack an egg into each spot (you may want to crack each egg into a small bowl first to make sure the yolk stays intact, then pour it into place in the skillet).Bake for 7-8 minutes, or until eggs are cooked to your liking.Sprinkle eggs with salt and pepper, and garnish the entire skillet with more chopped parsley.