Light one chimney full of charcoal. When all the charcoal is lit and covered with gray ash, pour out and arrange the coals on one side of the charcoal grate. Set cooking grate in place, cover grill, and allow to preheat for 5 minutes. Alternatively, set half the burners on a gas grill to the highest heat setting, cover, and preheat for 10 minutes. Clean and oil the grilling grate.
Working with one ball of dough at a time, stretch dough with floured hands or a rolling pin into an oblong or circle roughly 10 inches long and 6 inches wide. Once you have 2 or 3 pieces stretched, lay them out directly above the hot side of the grill. Cook without moving, popping any large air bubbles with a knife or the edge of a spatula or pizza peel, until bottom side is charred in spots and light golden brown. Flip with a large spatula, pizza peel, or tongs and cook until other side is charred and browned. Remove bread from the grill, transfer to a large plate, and cover with a clean dish towel to keep warm while you cook the remaining bread.