Creating this Chicken Pot Pie Soup is a simple process. Follow these steps for a delicious outcome:

1. Heat the Oil: In a large pot, heat the olive oil over medium heat.
2. Sauté the Aromatics: Add the diced onion and garlic. Sauté until the onion becomes translucent, about 3-4 minutes.
3. Add the Vegetables: Stir in the diced carrots and celery. Cook for another 5-6 minutes until they begin to soften.
4. Incorporate Herbs: Add the dried thyme and rosemary, stirring to combine.
5. Add Flour: Sprinkle the flour over the vegetables, stirring constantly for about 1-2 minutes to cook off the raw flour taste.
6. Pour in the Broth: Gradually add the chicken broth, stirring continuously to avoid lumps.
7. Add Chicken and Peas: Once the broth is added, include the shredded chicken and frozen peas. Bring the mixture to a simmer.
8. Add Cream: Pour in the heavy cream, stirring until well incorporated. Let it simmer for an additional 10 minutes, allowing the flavors to meld.
9. Season: Taste the soup and add salt and pepper as needed.
10. Serve: Ladle the soup into bowls and garnish with chopped fresh parsley.

Following these steps will guide you in creating this incredible Chicken Pot Pie Soup effortlessly.