Preheat your oven to 400°F (200°C) and line a large rimmed sheet pan with parchment paper for easy cleanup.
Peel and dice the sweet potato into small 1/2-inch cubes to ensure they cook quickly and evenly.
Dice the bell pepper and red onion into similar sized pieces as the sweet potatoes.
Place the sweet potatoes, peppers, and onions on the sheet pan. Drizzle with olive oil and sprinkle with sea salt, black pepper, garlic powder, and smoked paprika. Toss well to coat.
Crumble the ground turkey sausage into small chunks and distribute evenly across the pan amongst the vegetables.
Roast in the oven for 15-20 minutes, tossing halfway through, until the sweet potatoes are tender and the sausage is fully cooked through.
Remove the pan from the oven and use a spoon to create two small wells in the hash mixture.
Carefully crack one egg into each well. Return the pan to the oven for 5-8 minutes, or until the egg whites are set but the yolks are still slightly runny.
Garnish with freshly chopped parsley and serve immediately directly from the pan.