How to install windows 10 client in google cloud

Unfortunately this does not seem to be a use case that Google has catered for. I too have a need to have a cloud desktop that I can access anywhere. There are two clear use cases for this

1. where you need to create a true virtual desktop that you can access from anywhere, including a client site, airport, etc
2. for creating test environments where you need to test an app on something other than a (costly) windows server instance.

The Google compute engine looks to be designed for servers / services only. Think the easiest option for now is to do it in Azure where spinning up test or other desktops is recognised as a valid use case.

This appears to be an option now. However, you must provide your own Windows license and import your image as a virtual disk.

See https://cloud.google.com/compute/docs/instances/windows/#windows_client for more information.