The Health Check Catalogs have a filter for Privileged User, that allows you to quickly find health checks that need to be run by a specific privileged user, such as root.
Example Oracle ORAchk Health Check Catalog:
Figure 1-43 Oracle ORAchk - Privileged User
Example Oracle EXAchk Health Check Catalog:
Figure 1-44 Oracle EXAchk - Privileged User