This solution was used with wine 7.0 and Rosetta Stone 5.0.37 - 43113.
If running Rosetta Stone in Wine gives an error about no application descriptor file, creating the file described below should eliminate that error.
If the error is about initial content that cannot be found, editing the file as described below should eliminate that error.
Copy the example application descriptor file. Copy all text from the large black box (not the small one at the bottom of the page) found here:
https://help.adobe.com/en_US/air/bui...de46-7ff1.html
Paste the text into a file. Find HelloWorld.swf and change it to LocalApp.swf. Name the file application.xml and save it in ~/.wine/drive_c/Program Files (x86)/Rosetta Stone/Rosetta Stone Language Training/META-INF/AIR