Remove any excess fat and skin from the chicken breast, using a sharp knife or clean scissors.
Season the chicken with salt and pepper on both sides.
Arrange the chicken breast at the bottom of a large pot, in a single layer. Little overlapping is fine, but do not stack the chicken breasts or they won't cook evenly. If they do not fit, use a larger pot.
Cover the chicken breast with cold water or broth completely, by about 1 to 2 inches. You can add extra salt, pepper and seasonings such as garlic, onion or bay leaves to further enhance the flavor of the meat.
Place the pot on the stove and cook on high heat until the water begins to boil. Reduce the heat, then cover the pot with a lid and simmer for about 6 minutes. After 6 minutes, flip the chicken, cover with lid, and cook on the other side for about 7 to 10 minutes more. The chicken breast is ready for shredding when it reaches an internal temperature of about 165°F (74°C) and is no more pink inside.
Using tongs or a fork, remove the cooked chicken breasts from the pot and place into a large bowl. Allow the cooked chicken to cool for 10 minutes before shredding. You should shred chicken when it is still warm, but not overly hot. Warm chicken is easier to shred.