Does Azure Automation support Write-Information?

If you want to write info logs into Azure Automation job logs, I suggest you use write-output. For details, you can refer to this article.

I'm not sure if write-information is supported or not in runbook. I test it at my side, as well as I test the cmdlet write-host which is a wrapper for write-information. But no message output for both of them.

A support ticket is raised for confirmation from MS.

Hope this helps.