Currently our assignment logic only allows Contacts to be assigned to Users, an entire Team/group can't be the assignee. You can still carry out automatic assignment among teams, but the Contact will ultimately be assigned to one specific User of a Team, not to the Team itself.
Feel free to read more about our automatic assignment to teams here: https://respond.io/blog/auto-assignment-automatic-assignment-respondio
If you need for a contact to be assigned to the Team. Where the Team itself is the assignee of the Contact, please let us know by commenting in this thread.