Chicken gizzards are stewed and served in soup in some cultures. A gizzard is an organ found in the digestive tract of a chicken. Similar to a stomach, the gizzard is used to grind up the foods the bird eats.Gizzards are considered a delicacy in certain cultures, and provide a healthy dose of certain vitamins and minerals.There are drawbacks to eating chicken gizzards, which decreases their nutritional value.he same serving of chicken gizzards also has 370 milligrams of cholesterol, which is significantly more than the 300 milligrams or less you should limit yourself to each day. A diet low in saturated fat and cholesterol can reduce your risk of heart disease, stroke and certain types of cancer.