Saving from Chrome into Group Libraries
When I click save to Zotero it opens Saving to. When i click on the drop down and click more it opens my desktop and the file is saved in unfiled. No other options appear. As well i am not able to move anything out of unfiled.
What do you mean by "Opens my Desktop"?
What happens when you drag an item from Unfiled to a collection?
Also which versions of Zotero and the Chrome connector?
Then "it opens my desktop version" -- so you're saying you're clicking on "More" and that brings up Zotero Standalone in front of your browser? That can't be right (I don't believe that's technically possible) -- are you sure that's really what's going on?
As for drag to the group -- can you manually create items in that group?
If you think that's happening, can you try to take a screen recording of this, upload it somewhere (e.g., Dropbox), and post a link here?
You'll need to speak to the group admin if you're supposed to have write access.