Learn how to cook Southern green beans with ham the quick and easy way. 1 Chop the onions and wash and peel the potatoes. 2 Cut two to three cups of ham into bite sized piece. 3 Heat oil and pan and sauté the onions. Add the ham when the onions are translucent. Add the potatoes and beans. 4 Season and add water or ham stock. 5 Cover and reduce the liquid until the potatoes are cooked through. 6 Serve with cornbread.