Yes, you can host Odoo on Windows Hyper-V. Here are some points to consider:

- Odoo can be hosted on a virtual machine, such as Hyper-V. You can set up an Ubuntu VM on Hyper-V and then install Odoo on that VM.

- When setting up Odoo on a public server, be sure to check the security recommendations provided in the Odoo documentation.

- You might also consider using a pre-configured Odoo virtual machine from providers like Bitnami. These VMs contain a minimal Linux operating system with Odoo installed and configured, and they can be used with hypervisor software such as Hyper-V.

Hope this helps.

Regards,
Maciej Burzymowski