01 - Heat olive oil in a large Dutch oven or heavy-bottomed pot over medium heat. Add the diced onion, sliced carrots, and celery; sauté until the vegetables have softened, about 5 minutes. Add the minced garlic and cook for 1 additional minute until fragrant.
02 - Add the chicken pieces to the pot and season with salt, pepper, dried thyme, and dried parsley. Sauté until the chicken is lightly browned on all sides, approximately 3 to 4 minutes.
03 - Pour in the chicken broth and drop in the bay leaf. Bring the mixture to a gentle boil, then reduce the heat to low and let it simmer for 15 minutes so the flavors meld together.
04 - While the broth simmers, combine the flour, baking powder, baking soda, salt, and chopped parsley in a mixing bowl. Pour in the melted butter and milk, stirring gently until just combined. Be careful not to overmix, as this will make the dumplings tough.
05 - Remove and discard the bay leaf from the pot. Stir in the frozen peas and heavy cream, if using, and return the stew to a gentle simmer.
06 - Drop spoonfuls of dumpling dough (about 1 tablespoon each) onto the surface of the simmering stew, spacing them evenly apart. Cover tightly with a lid and cook over low heat for 18 to 20 minutes, or until the dumplings are puffed and cooked through. Avoid lifting the lid during cooking.
07 - Taste the stew and adjust the seasoning with additional salt and pepper as needed. Ladle into bowls and serve hot, garnished with extra fresh parsley if desired.