As explained by marto, the official port of debian on the Pi, raspbian, ships perl like most debian systems. The Pi zero does not seem to differ much in terms of hardware, so my guess is that raspbian and thus perl runs on it.
FWIW, I'm the happy owner of a Raspberry Pi 2. It's a great little computer that I use through SSH via my chromebook. It's not the fastest CPU in the world, but it's absolutely quiet and doesn't take much room. I use it mostly as a web server and a irc client. I also do my Perl 6 experiments with it.