Unlike other daffodils, Narcissus tazetta -- also known simply as narcissus -- does not need chilling to bloom well and is, therefore, perfect for gardens in U.S. Department of Agriculture plant hardiness zones 9 through 11. Like other plants in the genus, they often need little to no care to grow well and bloom for years. With some attention, though, your narcissus will flourish and put on a spectacular display for up to 100 days in early to mid winter, depending on the weather.