Wondering what the best side dishes to serve with Marry Me Chicken are? Here's our favorite tasty sides. From salads, to vegetables, starches & more. Try this Creamy Parmesan Polenta recipe makes a delicious side dish. Irresistibly delicious with parmesan cheese, but simple to make with just 5-ingredients: polenta, parmesan, milk, chicken broth and butter. Yum!