While pork shoulder (or butt) is the traditional cut for carnitas, you can experiment with other cuts, such as pork loin or pork tenderloin. However, keep in mind that leaner cuts may not result in the same level of tenderness and juiciness as the fattier cuts. If you must use a leaner cut, add 2 to 4 tablespoons of fat – olive oil, coconut oil, or whatever you prefer. Also, add 1 cup of liquid - either broth or water.