Place the chicken in a dutch oven or another large pot, and cover with water. Add the parsley, celery, carrot, salt, and pepper.
1 raw chicken, 3 sprigs parsley, 2 stalks celery, 1 carrot, 2½ teaspoons salt, ½ teaspoon pepper
Bring to a boil, then cover and simmer 1½ hours or until the chicken is cooked through.
Remove the chicken and vegetables from the broth. If the broth comes up more than halfway in the pot, you can remove a few cups of broth if you’d like a thicker sauce.
Place the ¼ cup flour in a small jar with a tight-fitting lid, along with ¼ cup water. Shake to combine. Whisk the mixture into the hot broth and let cook until thickened slightly.
¼ cup flour
Remove the meat from the chicken, remove the skin, and cut into bite-sized pieces. Add back to the pot.
For the dumplings:
In a medium bowl, whisk the milk and egg together. Add the flour, baking powder, salt, and sugar, and stir to combine.
Drop by teaspoon-full into pot (the broth should be at a simmer). It may feel like too much batter but keep dropping them in—it'll all work out. Cover and let cook for 15 minutes. Don’t peek!
Garnish with fresh parsley or chives, and serve.
Notes
Want to add carrots? Cut them into ¼-inch pieces to make 1 cup and add them to the simmering broth while you are chopping the chicken. Want to add peas? Add one package of frozen peas to the broth right before adding the dumplings. Make sure the broth comes back to a simmer before dropping in the dumplings.You don't need a whole chicken for this—cut up chicken pieces work just fine. You may not have to let them simmer for quite as long (one hour should be fine for bone-in pieces). Any leftovers heat nicely in the microwave.