If not using cans of chicken, you need to cook chicken. Add 4 quarts of water to cut up chicken breast, bring to a boil; then simmer over medium heat. Simmer the chicken until it is tender, about 40 minutes. If you boil a whole chicken you need to de-bone and remove skin.
Add chicken to large pot
Add soup, broth, water, salt and pepper
Bring to a boil and simmer
If using flour tortilla add strips to pot a little at a time. Push into chicken mixture and continue adding.
Simmer on low for about 10 - 15 minutes
To prepare the dumplings: Mix the flour with the salt and mound together in a mixing bowl. Beginning at the center of the mound, drizzle a small amount of ice water over the flour. Using your fingers, and moving from the center to the sides of the bowl, gradually incorporate about 3/4 cup of ice water. Knead the dough and form it into ball.
Dust a good amount of flour onto a clean work surface. Roll out the dough (it will be firm), working from center to 1/8-inch thick. Let the dough relax for several minutes.
Cut the dough into 1-inch pieces. Pull a piece in half and drop the halves into the simmering soup. Repeat.
Do not stir the chicken once the dumplings have been added. Gently move the pot in a circular motion so the dumplings become submerged and cook evenly. Cook until the dumplings float and are no longer doughy, 10 - 15 minutes.