Preheat oven to 400 degrees F.
In a large oven-proof skillet, heat a few tablespoons of olive oil over medium heat.
Brown the sausage, continuing to break it up until it's cooked through. Remove cooked sausage from the skillet and set aside.
If needed, drain all but a few tablespoons of grease.
Add the onion and bell pepper to the skillet and sauté a few minutes, until softened.
Add potatoes to skillet along with the onions and bell pepper. Add seasonings, and continue to sauté.
Continue to cook the vegetables until the potatoes are fork tender, about 10-15 minutes.
Add the browned sausage back to the skillet.
Make four small wells in the hash mixture large enough for the eggs. Crack each of the eggs into the spaces you created.
Place the skillet into the oven and bake for 10-12 minutes, depending on the doneness you like your eggs.
When finished baking, remove from the oven and adjust seasoning with salt and pepper. Garnish with chopped parsley and serve immediately.