Preheat a large soup pot over medium-high heat. Add the oil, then add the turkey.
Use a wooden spoon to break up the turkey as it cooks. Season with a pinch of salt and pepper, and continue to stir occasionally to brown the turkey on all sides (for about 5-7 minutes). You may have to drain off some of the liquid if it is not browning.
Once the turkey is almost cooked through, add the chopped onion and garlic. Stir occasionally for another 2-3 minutes.
Next, add the beans, salsa verde, and broth. Give it all a good stir and put a lid on the pot. Turn the heat down to medium-low and let it simmer for 30-35 minutes.
When ready to serve, spoon the chili into bowls and top with sour cream, cilantro, and any other desired toppings.