In a 10-in. skillet, melt butter over medium heat. In the skillet, layer half of the potatoes, salt, pepper, onions, green pepper and ham; repeat layers. Cover and cook over medium heat for 10-15 minutes or until potatoes are tender.
Pour eggs over the top. Cover and cook for 3-5 minutes or until eggs are nearly set. Sprinkle cheese. Cover and cook 3-5 minutes or until eggs are nearly set. Sprinkle with cheese. Cover and cook 3-5 minutes longer or until cheese is melted and eggs are completely set. Cut into wedges. Sprinkle with parsley.