Saute onion, carrot, and celery in vegetable oil in a large pot over medium-high heat until tender, about 3-5 minutes.
Stir in garlic, Italian seasoning, salt, and pepper and let cook for 1 minute.
Add chicken breasts, stock and rice and bring to a boil.
Turn down heat to medium low, cover, and let simmer for 30 minutes, stirring occasionally.
Remove chicken breasts and shred before returning back to the pot, along with the evaporated milk.
Stir to ensure everything is combined and serve.
ENJOY!!