Its primary star is Ankaa, also known as Alpha Phoenicis, is a mere magnitude 2.39. There are only eleven stars in the whole constellation which clear magnitude 5.0.
The constellation stretches from roughly -41° to -57° declination, and from 23.5h to 2h of right ascension. This means it is generally invisible to anyone living above the 40th parallel in the Northern Hemisphere, and remains low in the sky for anyone living north of the equator. It is easily visible from locations such as Australia and South Africa during Southern Hemisphere summer.
Phoenix is associated with the minor Phoenicids meteor shower of December 5th.