I have a whole bunch of folders over the past 3-4 years that are "owned" by different people that worked for me. I tried to get them all organized under one subfolder and it's not allowed.
Two options depending on what you’re looking to do:
1. If you just want to personally organize shared folders you receive, you can always put them in folders in your account.
2. If you’re trying to create a nested shared structure, that’s what dropbox biz does. You make your employees team members. The ownership issue becomes less tricky since the biz content is all “owned” by the biz.
As a dropbox alum, I’m not up to speed on all the latest nuances. You should chat with sales to see how it could work for you, or just try a trial.