AAM does not filter posts based on status. It might be pretty useful feature and we'll take this in consideration.
For now, the best way will be to keep all your Pending Posts in separate Category and grant access for your users only to see posts from that category (you can find more information about it here http://wpaam.com/tutorials/posts-pages-general-overview/)
We successfully implemented yesterday a new feature that will not only restrict access to posts but will completely hide them from backend & frontend lists (see our last twitter post).
This will be a part of AAM Plus Package.