Melt the butter in a large pot over medium-high heat. Add the onion, carrots, and celery, and cook until softened, about 5 minutes.
Add the garlic and cook for an additional minute. Add the flour and stir to combine. Cook for 1 minute.
Pour in the chicken broth and stir to combine. Add the thyme, oregano, bay leaf, and salt. Bring to a boil, reduce the heat to low, and simmer for 10 minutes.
Add the cooked chicken, frozen peas, and parsley. Stir to combine. Cook for an additional 5 minutes.
Add the heavy cream and stir to combine. Simmer for 5 minutes.
In a separate bowl, combine the self-rising flour and buttermilk and stir until a soft dough forms. Drop the dough by tablespoonfuls into the simmering liquid.
Cover and simmer until the dumplings are cooked through, about 10 minutes. Serve hot.
Interesting Facts
Chicken and Dumplings is a classic American comfort food dish.
The dish is believed to have originated in the Southern United States.
The dumplings are usually made with self-rising flour.