Can it be installed on a cloud server?

Last verified against genymotion.com:

No, Genymotion Desktop is not supported on cloud servers or cloud instances. It is designed for a physical machine, and the cloud version is a different product: the Can Genymotion Desktop run in a Cloud service (AWS, Google Cloud, MS Azure, Alibaba, etc.)? article says it will not run on Windows, Linux, or macOS cloud machines.

If you need a cloud option, Genymotion provides the Genymotion Device image for AWS, GCP, Alibaba, and Azure.