Place the quartered chicken into a large pot or dutch oven. Fill the pot with water until the chicken is fully submerged. Bring to a boil, then turn down to a simmer and continue to simmer for 40 minutes. Remove the chicken from the pot and set aside to cool. Strain the broth through a fine mesh strainer and set aside.
Combine the flour, baking soda and powder and salt in a mixing bowl. Add the buttermilk and melted butter and use your hands to fold it into a dough, but try not to over mix. Mix it until it is just combined. Use a cookie scooper to scoop balls of the dumpling dough directly into the soup. Once all the dough is in, place the lid on the pot and simmer for 20 minutes. Sprinkle the finished dish with fresh parsley.