2Heat vegetable oil in a large Dutch oven over high heat. Season pork shoulder pieces with salt, then arrange in the Dutch oven. Cook until browned on all sides, about 10 minutes.
3Stir in onion, garlic, lime juice, chili powder, oregano, and cumin. Pour in chicken broth; bring to a boil. Reduce heat to medium-low, cover, and simmer until pork is very tender, about 2 1/2 hours.