Can Genymotion Desktop run Google Play (Play Store) in a virtual machine?
No. Genymotion Desktop is not designed to run Google Play Store apps out of the box, and it is not supported in virtual machines or cloud instances. It’s meant for real hardware only, and cloud use is handled by Genymotion SaaS or Device Image, not Desktop. See Can Genymotion Desktop run in a virtual machine? and Can Genymotion Desktop run in a Cloud service (AWS, Google Cloud, MS Azure, Alibaba, etc.)?.