In a large pot over medium heat, add oil, onion, celery, and carrots, and saute for 8-10 minutes.
Add in remaining ingredients except for the cream. Bring to a low boil, reduce heat to medium-low, and cover & simmer for 30-45 minutes (until you can easily shred the chicken).
Remove chicken breasts from pot & place on a plate or cutting board. Shred using two forks, and then return to the soup.
Stir in cream & serve.
Enjoy!
(I told you this was easy! 😉)