The type of wood chips you use will contribute to the flavor of your smoked chicken quarters. It's important to keep that in mind when making your choice. Fruit wood: Using apple, cherry or peach will give your chicken a slightly sweet, fruity taste. Maple: Results in a mild, sweet flavor that's popular as well. Hickory: The traditional choice for a true Southern barbecue taste. Mesquite: Imparts a strong, smoky flavor to any smoked meats. My personal preference is to use a more subtle wood — like apple — when I smoke chicken quarters. Experiment to see which flavor is your favorite!