In a large pot, heat olive oil over medium heat until shimmering.
Add chopped onions, carrots, and celery, sautéing until soft, about 5-7 minutes.
Add the chicken breasts and cook until golden brown and no longer pink in the center, about 7-10 minutes.
Pour in the chicken broth, bringing the mixture to a gentle simmer.
Stir in the rice, cooking according to package directions until tender, about 15-20 minutes.
Once the rice is cooked, swirl in the cream, seasoning with salt and pepper to taste.
Serve hot in warm bowls and enjoy!