Heat olive oil in a large pot or Dutch oven over medium heat. Add onion and cook until softened, about 5 minutes. Add garlic and cook for 1 minute more.
Add chicken to the pot and cook until browned on all sides.
Add white beans, green chilies, chicken broth, cumin, chili powder, and oregano to the pot. Bring to a boil, then reduce heat and simmer for 20-25 minutes, or until chicken is cooked through.
Remove chicken from the pot and shred with two forks. Return shredded chicken to the pot and stir to combine.
Season with salt and pepper to taste. Serve hot with your favorite toppings.