Preheat your oven to 400°F (200°C) and line a large sheet pan with parchment paper for easy cleanup.
Dice the chicken breast and sweet potato into small, uniform half-inch cubes to ensure they cook evenly.
Place the chicken, sweet potatoes, diced bell peppers, and onions onto the sheet pan.
Drizzle the olive oil over the ingredients and sprinkle with sea salt, black pepper, smoked paprika, and garlic powder.
Toss everything together directly on the pan until well-coated, then spread out into a single layer.
Roast in the oven for 15 to 18 minutes, or until the chicken is cooked through and the sweet potatoes are tender.
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 and return the pan to the oven for 5 to 7 minutes.
Remove once the egg whites are fully set but the yolks are still soft and runny.
Serve immediately while hot, directly from the pan or onto a plate.