Add 3-4 cups of water, salt, and chicken breasts in a medium-sized pot.
Let the water come to a boil, then let the chicken cook on medium-high heat. Boil the chicken until fully cooked. Remove the chicken breasts and let them cool.
Once the chicken is at room temperature, shred the chicken either by hand or using a food processor.
Add the cream cheese, mayonnaise, and black pepper to a medium-sized bowl and mix well until it forms a paste.
Add in the chopped celery and chicken and mix well.
Generously spread the chicken paste onto your favorite bread and serve.