LibreELEC (Krypton) v8.0.0.1 is a limited release for the new Raspberry Pi Zero W built with Kodi v17.1-RC1 and updated firmware/drivers for the Pi Zero W WiFi and Bluetooth devices.
This release allows Pi Zero W users to install LibreELEC and experiment before formal support for the Pi Zero W arrives in LibreELEC v8.0.1, which we expect to ship after Kodi v17.1 is released.
LibreELEC-RPi.arm-8.0.0.1.img.gz (info)
To install LibreELEC on a new Pi Zero W download the .img.gz file linked above and use the LibreELEC USB/SD Creator app to create a bootable micro SD card.
It can also be used to update 8.0.0 installations where the Pi Zero W will boot and run but does not have WiFi and Bluetooth drivers.
If you experience an issue with LibreELEC on Pi Zero W hardware please report the problem via the forums.
Enjoy!