Co-management isn't a role that lives anywhere. It's simply functionality that configures clients to enroll in Intune and coordinate management activities between ConfigMgr and Intune. Yes, all you need to do is disable it in the "old" site and then enable it in the "new" site.
Move Co-management to Dfferent Server
We have co-management enabled on a Primary SCCM server. We built a parallel environment with a different Site code and moved all clients to it. How do I disable Co-management from the Current server and move it to the new Server. Is it just delete and enable on the new Server or do I need to do anything specific?