Season chicken generously with salt and pepper on both sides. Place egg whites in a shallow dish or plate. Whisk in cheese, parsley, and lemon zest. Dredge each chicken piece through the egg mixture, shaking off excess, and set in flour. Shake the plate so chicken pieces get coated, turn chicken over and repeat. Shake off all of the excess flour. Lay on a cookie sheet lined with parchment and set next to stove.
Heat oil in a 12-inch non-stick pan over medium high heat. When hot but not smoking, add chicken and cook, turning once, until golden and cooked through, about 2 minutes per side. Serve with lemon wedges.