The SAP Hana Enterprise Cloud (HEC) is a fully-managed, subscription-based cloud service. The general operation of the system is done by the HEC team, the customer does not need to be involved. However, as it is a private cloud and many customers use it as an extension of their existing on-premise solution, there might be a need to integrate the systems located in HEC into existing application lifecycle management processes (e.g. ChaRM) or Run SAP Like a Factory scenarios (e.g. Interface Monitoring, System Monitoring, Business Process Monitoring). In order to achieve this kind of integration your systems located in HEC need to be connected to your on-premise SAP Solution Manager. Once the connection is established, the setup of the processes/scenarios is straight forward like for any of your on-premise systems.
If you want to connect your SAP HEC system to your on-premise SAP Solution Manager you should be aware that HEC is using SAP Focused Run for operations. You will have a coexistence of SAP Solution Manager and SAP Focused Run by default. For further information, check the considerations for SAP Focused Run and SAP Solution Manager.