Preheat oven to 425°,F. Score the tops of each chestnut with an &lsquo,x&rsquo, (using a sharp knife to pierce through the tough outer shell) and place on a wire rack lined baking sheet. Roast in the oven for 15-20 minutes or until the shells begin to curl. Remove from the oven and place in a kitchen towel-lined bowl. Gather the warm nuts together, in the towel, and squeeze together (you&rsquo,ll hear the shells cracking). Set aside to cool completely.
Increase oven temperature to broil. Toss green beans with olive oil and spread out evenly on a large baking sheet. Place in the oven and broil for 10-12 minutes (turning the pan, if necessary, for even cooking) or until the beans are charred.