Access for viewing this property and editing the property in object metadata can be defined on the Permissions tab.
If the user does not have the permission to view the property, it is not available for selection in M-Files (for example, when you are creating a new search or when More properties is selected).
If the user cannot see the property, the user also does not have the permission to edit it. However, the user may have the permission to see the property without having the permission to edit it. Editing in this case refers to the user being able to edit the property in the object metadata in all possible ways: edit its value, or add or delete the property.