If the question is "Can Entuity be installed in the cloud?", the answer is yes. It must be installed on a supported OS and the cloud platform must meet the minimum hardware requirements for the number of devices you intend to monitor. The biggest issue with a cloud deployment of Entuity is how you reach the devices to be monitored. VPN connections from the cloud provider may be required to monitor the devices.
Entuity is typically installed as an on-premise solution as most of the devices needing to be monitored are already reachable via the customer's network.