In a large pot, heat the olive oil over medium heat. Add the diced onion, carrots, and celery. Sauté for about 5 minutes until the vegetables are softened.
Add the minced garlic and cook for an additional minute until fragrant.
Incorporate the shredded chicken into the pot and stir.
Pour in the chicken broth, followed by the heavy cream. Mix well.
Season with dried thyme, rosemary, salt, and pepper. Bring the mixture to a gentle boil.
Once boiling, reduce the heat and let simmer for about 20 minutes, stirring occasionally.
Add the frozen peas and corn, cooking for an additional 5 minutes until they are heated through.
Taste the soup and adjust the seasoning if necessary.
Serve hot, garnished with fresh parsley.