Creating this Chicken Pot Pie Soup can be straightforward if you follow these precise steps:

1. Cook the Chicken: In a large pot, heat olive oil over medium heat. Add chicken pieces and cook until browned (about 5-7 minutes). Remove and set aside.
2. Sauté Vegetables: In the same pot, add butter. Once melted, sauté the onion and garlic for about 2-3 minutes until translucent.
3. Add Flour: Stir in the flour and cook for another 2 minutes, mixing well to form a roux.
4. Add Broth and Cream: Gradually pour in the chicken broth and heavy cream, whisking continuously until the mixture thickens (around 5 minutes).
5. Add Vegetables and Seasonings: Mix in the diced potatoes, frozen vegetables, thyme, rosemary, salt, and pepper.
6. Simmer: Return the cooked chicken to the pot. Bring to a boil, then reduce the heat and let simmer for 25 minutes, stirring occasionally.
7. Check and Adjust: Taste the soup and adjust seasonings as needed.
8. Serve: Once the potatoes and vegetables are tender, remove from heat. Garnish with fresh parsley.

These steps will guide you through crafting an incredible Chicken Pot Pie Soup that your family will adore.