I did a test.
From the group where I 'm vice-captain.
You can propose to any team you can meet in the game (from your competitions, transfer market bidders, supporters or opponents of your friends) when you see his profile and he isn't in any FA group.
Instead of the group, there is a green button "invite".
But when I tab, there was a message that my asc.group has already 6 members so we must make an empty place.


I'm playing on the PC version
* you mean the new version of course