In a large pot, sauté the onion, carrots, and celery in olive oil until softened.
Add minced garlic and cook for an additional minute.
Stir in shredded chicken and dried thyme.
Pour in chicken broth and bring to a simmer.
Reduce heat and add heavy cream.
Season with salt and pepper to taste.
Allow the soup to simmer for another 10-15 minutes.
Use an immersion blender for a smoother consistency if desired.
Taste and adjust seasoning as necessary.
Serve hot, garnished with fresh parsley.