Hello Tianna,
Thank you for your posting. I noticed this thread is in Outlook category, if your main concern is Teams app, according to my test result, we can’t move folders in Teams app, this behavior is the same not only on Mac, but also on Windows and Web app. In Teams it isn’t provide an option to let customer move folder, we can move and copy files within specific limits: Move or copy files in Teams.
However, for folders and files in each team group, since they’re stored on associated TeamSite on SharePoint, you select “Open in SharePoint” in one team group-> “Move To” or "Move"and test to see if this way meets your need:
If you have any query, welcome back and let us know.
Kind Regards,
Anna