In a large pot, heat the olive oil over medium-high heat. Sauté the carrot, celery, onion and garlic for 5 minutes.
Add the chicken broth, spices, parmesan cheese rind, and chicken breast to the pot. Stir together and cover with a lid and bring to a boil, about 10 minutes.
Once boiling, add the potatoes to the pot and cook for another 10 minutes.
Remove the pot from the heat. Discard the parmesan cheese rind and remove the chicken from the pot.
Shred the chicken with two forks or a stand mixer. Add the chicken back to the pot and stir together to combine.