Fishtail palms (Caryota urens) get their fun name from the close resemblance of their foliage to a fish’s tail. Because these palms, like others, require warm temperatures, they are grown as houseplants in most regions. However, you can put fishtail palms outdoors in the late spring and summer to enjoy warm temperatures for a season. Fishtail palm houseplants are a beautiful and interesting addition to sunrooms, patios or any brightly lit indoor room.