Heat olive oil in a large Dutch oven over medium-high heat. Sprinkle all of the seasonings over both sides of the meat to taste.
Place the beef in the hot Dutch oven and sear all sides.
Add the green chiles, diced tomatoes, beef broth, garlic cloves, and cilantro to the Dutch oven. Cover with a lid and place in the oven. Cook in the oven for 3-4 hours or until the meat is tender and falling apart.
Note: Make sure to check the meat periodically to make sure there is enough liquid in the Dutch oven. Add more beef broth if needed.
Remove the meat from the Dutch oven and place it on a cutting board to rest.
Strain the liquid into a bowl, then place it back in the pan to cook over medium heat for a few minutes to reduce.
Pour the liquid onto the sliced beef and serve immediately. Enjoy.