In a large soup pot, heat the oil over medium-high heat. Add the chicken and cook for 3 minutes or until browned on all sides. Remove the chicken from the pot and set it aside on a plate.
Cook the veggies:
Heat the remaining tablespoon oil over medium-high heat and add the onions, celery, and carrots. Cook for 3 minutes or until the veggies are softened and golden brown.
Combine and simmer:
Add the seasonings, salt, black pepper, chicken broth, and chicken pieces. Bring to a boil, reduce heat, and simmer for 20 to 30 minutes, until the carrots are fork-tender.
In a small bowl, combine the cornstarch and water. Stir it into the soup along with the half and half and green peas. Continue cooking for another 10 minutes or until thickened.
Serve:
Serve the soup topped with fresh parsley and a biscuit.
Notes
You can swap half and half for equal amounts of regular milk, or to make it dairy-free, use almond milk or cashew milk. It won't be as creamy, but it will still be delicious.
Other veggies you can add are frozen green beans, corn, sliced mushrooms, chopped cauliflower florets, or diced potatoes.