Heat oil in a large nonstick skillet over medium-high heat. Add garlic and next 3 ingredients; cook 3 minutes or until vegetables are tender.
Combine eggs and next 3 ingredients in a large bowl. Stir in vegetable mixture, shrimp, and next 3 ingredients. Pour mixture into a greased 11- x 7-inch baking dish. Bake at 350º for 45 minutes or until golden brown. Let stand 5 minutes. Sprinkle with parsley.