Sorry, No. The Departments menu is actually the Menusuite, And that one is never going to be added to the webclient.
The menusuite in the windows client has two tasks:
To make everything searchable in the upper right corner
Total overview of all functional areas.
If you want something searchable then you have to type something in the property ApplicationArea in development of every object and afterwards “build” the list using the classic Development client (if you are running on-premise).
To total oveview like the departsmens menu cannot be done.