In a large pot, heat the olive oil over medium heat. Add the diced onion and sauté until translucent, about 5 minutes.
Stir in the minced garlic, carrots, and celery. Cook for another 3-4 minutes until the vegetables begin to soften.
Add the shredded chicken, chicken broth, frozen corn, diced potatoes, dried thyme, paprika, salt, and pepper. Bring the mixture to a boil, then reduce the heat and let it simmer for 20-25 minutes, or until the potatoes are tender.
Stir in the heavy cream and let the chowder simmer for an additional 5 minutes. Adjust seasoning if necessary.
Serve hot, garnished with fresh parsley.