Get them whilst you can! https://www.raspberrypi.org/blog/raspberry-pi-zero-w-joins-family/
This can run Home assistant?
Sure I guess why not 
Anybody can confirm?
as i read only pi 3 work with HA…
I try with PI 2 and she stuck and not run.
I have HA running on a Pi1 at the minute, runs perfect.
I’ve just bought a Pi Zero W, hopefully be here in a day or two.
The Hassbian image is probably Pi3-specific, but you can install Home Assistant on pretty much anything capable to run Python.
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I’m running HASS on a Raspberry 1 generation and works fine even with mysql as database
I was running HASS on the first RPi Zero. It was somewhat slow at times, but it certainly worked.
Current hassbian installs fine on pi2
Im thinking this would make for a nice video door bell option… anyone else got any cool pi zero w/wifi project ideas?
Il make a couple of sensor nodes with the particular focus on leak detection