Preheat the oven to 400F degrees. Set aside a medium-large nonstick baking sheet.
In a medium bowl, whisk together egg, lemon juice, garlic, parsley, salt and pepper. In another medium bowl, combine breadcrumbs and parmesan.
Dip a chicken breast into the egg mixture, then dredge in the breadcrumb mixture coating evenly. Set in the middle of the baking sheet and repeat for remaining chicken pieces.
Chop potatoes and spread them around the chicken. Drizzle with oil and sprinkle with chopped garlic, salt and pepper. Bake for 10 minutes in the upper half of the oven.
While baking, trim the green beans and cut to desired length. Add to the sheet pan and bake for 15 minutes until chicken is browned and vegetables are tender. Serve and enjoy!