Heat oven to 350°F. Bake biscuits as directed on can.
Meanwhile, in medium bowl, mix eggs, ham, parsley and milk. In 10-inch skillet, melt butter over medium heat. Add egg mixture; cook 6 to 10 minutes or until egg mixture is set, stirring and turning occasionally. Stir in cheese.
Split biscuits. Spoon egg mixture evenly onto bottom halves of biscuits. Cover with top halves of biscuits.