Health Benefits of Beet Greens. Besides supplying good amounts of protein, phosphorus, and zinc, beet greens are also a great source of fiber. Packed with antioxidants, they’re high in vitamin B6, magnesium, potassium, copper, and manganese, and low in fat and cholesterol.njoy beet greens by themselves as a salad or with other leafy vegetables, or saute sauté them in a bit of olive oil or balsamic vinegar and salt for a delicious side. Dish’here s a great: tip if you find yourself with too many beet, greens’don t throw them. Away freeze them and use for soup. stock