An apparatus and method are provided for automatically making a pocket sandwich. The apparatus includes a platform configured to support a wrap (such as pita bread, tortillas, or the like) and a rotatable food pocket arranged at a center of the platform. A folding paddle is configured to rotate toward and away from the center of the platform, being placed at a location with respect to the platform such that motion of the folding paddle toward the center of the platform folds a portion of the wrap. The holding arm has a tip at a free end thereof, being movable in a vertical direction toward and away from the center of the platform. The holding arm is configured to contact the wrap and hold the folded pleat in place while the food pocket rotates with respect to the platform to permit the folding paddle to generate a successive pleat.