Preheat your oven to 400°F and line a large rimmed sheet pan with parchment paper for easy cleanup.
Slice the chicken sausage into half-inch rounds and cut the bell peppers and red onion into thin, even strips.
Place the sausage, peppers, and onions on the sheet pan and drizzle with olive oil, then sprinkle with sea salt, black pepper, and dried oregano.
Toss everything together until well-coated and spread into a single, even layer across the pan.
Roast in the oven for 15 to 18 minutes, tossing halfway through, until the vegetables are tender and the sausage is lightly browned.
Remove the pan from the oven and use a spatula to create three small wells in the sausage and pepper mixture.
Carefully crack one egg into each well and return the pan to the oven for 5 to 7 minutes until the whites are set but the yolks remain golden and runny.
Divide the roasted sausage and peppers between plates and serve with the eggs nestled on the side.