You will have to use Zotero Standalone for some things mentioned in the following.
When you select the group library (or any folder) before storing a citation, the cite will be placed in the selected folder. You have to use Zotero Standalone to see "My Library" and "Group Folder" on the screen the same time.
You can copy any citation to a group library in Zotero Standalone, or you can move it permanently from "My library" to any group-library via contextmenu or menu.
When you select the group library (or any folder) before storing a citation, the cite will be placed in the selected folder. You have to use Zotero Standalone to see "My Library" and "Group Folder" on the screen the same time.
You can copy any citation to a group library in Zotero Standalone, or you can move it permanently from "My library" to any group-library via contextmenu or menu.
When installed, a Icon is provided starting up the program.
I'm not aware for a Mac-Standalone, as I have no Mac.
https://www.zotero.org/support/installation