Those details are a little to vague to answer definitively, but perhaps this information can help you get started.
If you look at the Microsoft doc for Get-ClusterResourceType, you can see that the following are types of resources that can be configured in a Windows Server 2019 failover cluster.
- DFS Replicated Folder
- DHCP Service
- Distributed File System
- Distributed Transaction Coordinator
- File Server
- File Share Witness
- Generic Application
- Generic Script
- Generic Service
- IP Address
- IPv6 Address
- IPv6 Tunnel Address
- Microsoft iSNS
- MSMQ
- MSMQTriggers
- Network Name
- NFS Share
- Physical Disk
- Print Spooler
- Virtual Machine
- Virtual Machine Configuration
- Volume Shadow Copy Service Task
- WINS Service
For as long as this link works, there is a great post from John Marlin (Microsoft Senior Program Manager for High Availability and Storage) which explains all of the possible cluster resources: Windows Server 2016/2019 Cluster Resource / Resource Types.
What it will probably come down to for your question is whether or not the "process" is cluster aware, or if you process already fits into one of these pre-defined categories.
However, he also explains that "You can define your own resource types to provide customized support for cluster-unaware applications, enhanced support for cluster-aware applications, or specialized support for new kinds of devices. For more information, see Creating Resource Types."
Again, links are never a complete answer by themselves, but if you determine that you need to create a new resource type, then searching for "create failover clustering resource type" should get you there if/when the above links die.
