Poaching is the method of choice when it comes to preparing chicken for shredding. It is quite quick, and it prevents the chicken from drying out while yet allowing it to retain enough moisture to be shredded. Bring a large saucepan of water to a boil, then add chicken breasts that have been stripped of their skin and bones. Maintain a rolling boil for ten minutes, or until the chicken is no longer pink in the center.
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