Line a sheet pan with foil. Arrange the bell peppers and potatoes on the pan. Drizzle with olive oil. Sprinkle with Cajun seasoning and salt and pepper to taste. Stir to combine.
Arrange the smoked sausage over the peppers and potatoes. Bake for 20 minutes.
Sprinkle the cheddar cheese over the top. Make a few nests in the hash and crack the eggs into the nests. Sprinkle the eggs with salt.