This article provides the steps to disable the Datastore Browser feature on vCenter Server.
Symptoms:
vCenter Server contains the Datastore Browser feature that allows a user to browse all datastores associated with the vSphere environment. This includes all folders and files contained within the datastores.
Permissions to Datastore Browser are governed by vCenter Server permissions. In some cases, you want to disable access to Datastore Browser for security purposes or to eliminate the risk of a user being able to access the core virtual machine files and folders contained on the datastores.