1. Pound turkey cutlets to 1/8-inch thickness. Combine 2 tablespoons water and egg whites in a shallow dish. Combine breadcrumbs and cheese in a shallow dish. Dip cutlets in egg mixture; dredge in breadcrumb mixture.
2. Heat a large skillet over medium-high heat; coat with cooking spray. Cook 2 cutlets for 3 minutes on each side. Repeat procedure with remaining cutlets. Sprinkle with 1/4 teaspoon salt.
3. Combine 1/4 teaspoon salt, oil, juice, and pepper. Add parsley, radicchio, and apple; toss to coat. Serve with cutlets.