In a large pot, heat the olive oil over medium heat. Add the diced chicken and season with salt and pepper. Cook until browned and no longer pink, about 5-7 minutes. Remove the chicken from the pot and set aside.
In the same pot, add the chopped onion, garlic, carrots, and celery. Sauté for about 5-6 minutes until the vegetables are tender and fragrant.
Pour in the chicken broth and bring the mixture to a boil.
Lower the heat to a simmer and add the cooked chicken back into the pot along with the dried thyme and oregano. Let it simmer for about 15 minutes.
Stir in the heavy cream and frozen peas. Cook for an additional 5 minutes, allowing the soup to thicken slightly.
Taste and adjust the seasoning with more salt and pepper if necessary.
Finally, stir in the fresh parsley before serving.