Can Genymotion Desktop run Google Play (Play Store) in a virtual machine?
Yes, but only in Genymotion’s Android devices if Google Play services are available on that image. Genymotion Desktop itself is not meant to run inside a virtual machine or cloud instance.
You can use Genymotion Desktop download on supported real hardware, and you can run cloud devices with Genymotion SaaS if you need cloud-based Android.