In a large pan or dutch oven over medium heat, add the olive oil along with the chopped onion and chopped bell pepper. Sauté these ingredients frequently, stirring for about five minutes until they soften and become fragrant.
Now it's time to add in the cooked chicken along with ground cumin and chili powder. Mix these ingredients thoroughly to ensure that the spices coat the chicken evenly.
Next, pour in the salsa verde, fire-roasted tomatoes, diced tomatoes with green chilies (including their juice), chicken stock, and black beans into your pot. Stir everything together until well combined.
Allow this mixture to come to a simmer before reducing the heat to low. Let it cook gently for about ten minutes so that all the flavors meld together beautifully.
Once ready, serve your chili hot! You may choose to garnish it with your favorite toppings like sour cream or avocado for added richness.
If you have any leftovers, cover them well; they will keep several days in the refrigerator, making them great for lunch or dinner later in the week!