Preheat oven to 350 degrees. Place chicken on a baking sheet and bake for 30 minutes, or until fully cooked and juices run clear. Tent with foil and set aside.
Cook pasta according to package directions, omitting salt and/or olive oil. Add asparagus during last 2 minutes of cooking time.
Place peas in a colander. Drain pasta mixture over peas; set aside.