I recently set up a host running Ubuntu 14.04 LTS, ubuntu-zfs, and PostgreSQL 9.3. Using the ZFS snapshot feature I was able to make a snapshot of the file system holding the PostgreSQL database, write the snapshot to a compressed file, transfer it to another Ubuntu 14.04 LTS host running ubuntu-zfs, restore it, and launch PostgreSQL using that data directory with all the data (seemingly) intact.
The database is very low-traffic, so I do not know how effective this strategy would be for a busier database.
I take no responsibility if you attempt this setup and it causes data loss or other issues. Use it at your own risk; this document is meant to explain a potential setup and open discussion about limitations and potential improvements.