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Place each chicken breast half between 2 sheets of heavy-duty plastic wrap; pound to ½-inch thickness using a meat mallet or rolling pin. Sprinkle chicken evenly with salt and pepper.
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Cook bacon in a large nonstick skillet over medium heat until crisp. Remove bacon from pan. Add chicken to drippings in pan; cook 6 minutes on each side or until done. Remove chicken from pan; keep warm.
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Add onion to pan; cook 2 minutes or until tender, stirring constantly. Add cider and broth; bring to a boil, scraping pan to loosen browned bits. Cook until broth mixture is reduced to ½ cup (about 5 minutes). Stir in cooked bacon; serve sauce over chicken.