Well, I've seen some post on the forum that this is not possible, but reviewing the manual ZCO in the folder sharing section shows the following:

You can share your email, address book, calendar, tasks, and briefcase folders with others either in your org anization, external guests, or the public.
You can share with internal users who can be given complete manager access to the folder, external guests that must use a password to view the folder content, and public access so that anyone who has the URL can view the content of the folder.
but does not show as a way to share folders briefcase. I searched for information to share a folder briefcase, but nothing found.

Is there any way to get this?

sorry for my English.