Sear the chicken: In a large Dutch oven, heat olive oil and butter over medium-high heat. Season chicken with salt and pepper, then brown on both sides until golden, about 3–4 minutes per side. Transfer to a plate.
Sauté vegetables: Add celery, carrots, and garlic to the same pot. Cook for 4–5 minutes until softened and fragrant.
Build flavor: Stir in thyme, bay leaves, garlic powder, and onion powder. Add chicken back to the pot.
Simmer broth: Pour in chicken broth and bring to a boil. Reduce heat, cover, and simmer for 40 minutes until chicken is tender and cooked through.
Remove chicken: Take out the chicken pieces and discard skin and bones. Shred the meat and return it to the pot.
Prepare dumpling dough: In a bowl, whisk together 2 cups flour, cornmeal, baking powder, baking soda, and parsley. Stir in melted butter and buttermilk until combined (do not overmix).
Thicken broth (optional): If you prefer a thicker stew, whisk ¼ cup flour with ¼ cup broth and stir into the pot.
Add dumplings: Drop spoonfuls of dough gently onto the simmering stew. Cover and cook for 15–20 minutes without lifting the lid.
Finish and serve: Remove bay leaves, taste for seasoning, and garnish with fresh parsley. Serve hot and enjoy!