Today, Docker CE v17.06 has been released. It offers a series of enhancements as laid out in their announcement blog post. However, there is one more thing: the release comes with s390x binaries. Out of the three major enterprise distributions supported on the mainframe, Docker offers CE for Ubuntu. Particularly, Docker CE is not provided for SLES and RHEL (on any platform). Accordingly, binaries are available for Ubuntu for IBM z Systems.
(Note: See the next post if your distribution of choice happens to be something else than Ubuntu.)
These package are just like on other platforms. That includes deployment, so the anchor page is https://store.docker.com/editions/community/docker-ce-server-ubuntu. Detailed installation instructions are provided at https://docs.docker.com/engine/installation/linux/docker-ce/ubuntu/.
BTW, for the first time, Docker store shows a Z logo for an s390x container.