There could be several ways to eat chayote, staple food of Central America. Chayote can be baked, boiled or made into delicious gravy or added to stews. For boiling, you need to peel off the outer skin, cut it into chunks and boil it in water with salt, cloves and garlic. This also makes for an excellent addition to soups. You can bake it with skin on and team it up with your favorite mushroom pasta.