Does Ultimate Facebook work with multisite?

I am trying to deploy a multisite installation. I would like to let each site owner have access to the Ultimate Facebook plugin. So My question is this. Will these owners be able to each publish to their own Facebook accounts with my Facebook application? Or do each of them need to have their own Facebook App?

Ideally I would like it if the site owners did not have access to the Ultimate Facebook Settings. I would only like them to be able to grant access to their facebook before they publish the page.

How is what I am looking for achieved?