In a large non-stick skillet, fry sausage and peppers over medium-high heat until peppers are slightly soft and sausage is done
While sausage is cooking, crack eggs into large bowl or measuring cup, and whisk together
Remove sausage from pan and transfer to paper-towel-lined plate, and drain off any excess liquid from pan
Heat butter or olive oil in same pan over medium heat, then add eggs
Cook, stirring often, until slightly set, but not completely done
Add sausage and pepper mixture, sea salt, pepper and Italian seasoning, and gently stir until eggs are firm but still slightly soft
Sprinkle with Parmesan cheese, fresh parsley, if desired, and serve immediately