1. Preheat broiler to high.
2. Cook pasta; drain. Place in a large bowl; keep warm.
3. Cut bell peppers in half lengthwise; discard seeds and membranes. Place peppers, skin sides up, on a foil-lined baking sheet; flatten. Broil 6 minutes or until blackened. Let stand 5 minutes. Peel; cut into strips. Add peppers and cheese to pasta. Combine oil, vinegar, and garlic; stir into pasta mixture. Stir in parsley and 1/4 teaspoon salt.
4. Heat a large skillet over medium-high heat. Coat pan with cooking spray. Sprinkle chicken with remaining salt and pepper; sauté 6 minutes on each side or until done. Slice chicken. Serve over pasta.