Kiwifruits peak season is traditional between November and May. However, the fruits can be found in many supermarkets and grocery stores all year round. When the fruits are fully ripe, the fruit feels soft, appears plump, and smells fragrant. You can buy firm, unripe kiwis and allow the fruit to fully ripen at room temperature. You should avoid kiwifruits that are overripe with wrinkles, bruises, and soft spots.