Asimina triloba, the papaw, pawpaw, paw paw, paw-paw, or common pawpaw, is a small deciduous tree Pawpaw fruits are the largest edible fruit indigenous to the United States (not counting gourds, which are typically considered Description · Range and ecology · Cultivation · Uses. Pawpaw trees, the largest edible fruit trees native to North America, produce greenish-blackish fruit, usually three to six inches long. The flesh is. The climatic conditions of Southern California make growing the pawpaw there more difficult. The deep winter dormancy of the tree makes it highly frost tolerant.