There are many minerals and other nutrients that are beneficial for your liver:
Minerals:
Copper and Manganese - essential for liver detoxification process
Selenium - helps to reduce free radicals and may prevent insulin resistance
Vanadium - helps to improve insulin sensitivity-> better blood sugar control
Zinc - protects liver from free radicals damage. It is an important cofactor for regulation the metabolism of carbs, fat and protein.
Chromium - increases insulin receptors
Other Nutrients:
Omega 3 fatty acids - can reverse fatty liver according to an animal study
Coenzyme Q10 - has been shown to reduce the damage of liver due to oxidative stress & inflammation caused by unhealthy eating
Probiotics - may protect liver from damage by inflammation according to an animals research
Digestive enzymes - reduce the workload of liver in the process of digestion and filtration