In a non-metallic 2 quart casserole dish, stir together potatoes, carrot, onion, parsley and butter. Cover and microwave on High for 5 minutes, stirring once or twice. Season with salt and pepper.
In a medium bowl, beat together, eggs, milk, mustard and hot pepper sauce. Stir in cubed ham. Pour egg mixture into casserole, stir to combine.
Cover dish and microwave on high for 3 minutes. Draw cooked egg toward middle of dish and microwave on medium for 10 to 12 minutes. If you do not have a turntable rotate dish 2 to 3 times. Sprinkle cheese on top, cover and microwave for 30 to 60 seconds until cheese is melted. Let stand 5 minutes before serving.