Genymotion SaaS (Cloud) is based on the same architecture as Genymotion Desktop (x86), therefore it shares the same virtual devices.
For the moment, we don't have any operational Android 11 or 12 devices for x86 but it is under development.
In the meantime, please note that we provide x86_64 Android 11 images for Cloud providers (AWS, GCP, Alibaba, MS Azure and Oracle Cloud Infrastructure).
For more details, please refer to Genymotion Device image user guide.