Heat the Oil: In a large pot or Dutch oven, heat olive oil over medium heat.
Sear the Chicken: Add the chicken pieces to the pot, skin side down, and sear until golden brown on both sides. Remove and set aside.
Sauté Vegetables: In the same pot, add the chopped onion, carrots, and celery. Cook until softened, about 5 minutes. Add the minced garlic and cook for an additional minute.
Add Broth and Chicken: Return the chicken to the pot and pour in the chicken broth. Add the diced potatoes, thyme, rosemary, salt, and pepper.
Simmer: Bring the stew to a boil, then reduce the heat to low and cover. Let it simmer for about 45 minutes to 1 hour, or until the chicken is cooked through and tender.
Shred the Chicken: Once cooked, remove the chicken from the pot. Let it cool slightly, then shred the meat and return it to the stew.
Serve: Taste and adjust seasonings if necessary. Serve hot, garnished with fresh parsley.