"Last week Docker for AWS went public beta, and (now) Docker for Azure reached the same milestone and is ready for public testing. Docker for Azure is a great way for ops to setup and maintain secure and scalable Docker deployments on Azure."
(Docker for Azure was in private beta since DockerCon, June 2016)
So far it was possible to install Docker inside of a VM and then deploy images into that VM.
This official version offers integration with Azure storage for logging and diagnostics.
For now this is still only Linux based.