1Heat oven to 400°. Spray jelly roll pan, 15 1/2x10 1/2x1 inch, with cooking spray.
2Cut chicken lengthwise into 1/2-inch strips. Mix crushed crackers and cheese in large resealable plastic bag. Beat egg in large bowl; add chicken strips to egg and toss to coat. Remove chicken from egg, allowing excess to drip off; place chicken in bag of cracker mixture. Seal bag and shake to coat evenly with cracker mixture. Place chicken strips in single layer in pan.
3Bake uncovered 10 to 12 minutes or until no longer pink in center. Serve with barbecue sauce.