Soft-shell crab is a culinary term for crabs which have recently molted their old exoskeleton and are still soft.This means that almost the entire animal can be eaten, rather than having to shell the animal to reach the meat.The exceptions are the mouthparts, the gills and the abdomen, which must be discarded. The remaining, edible part of the crab is typically deep fried or sautéed.Product of Japan.