Shazam has issued an update today to their app to include Apple Music integration.  

  
The new version of Shazam states it requires iOS 9.3 for the Apple Music to connect in settings, however, it seems to run perfectly on iOS 9.0.2 if you manually select to liste. In Apple Music. 

The new update allows users to:

– Add any Shazam track to any of your Apple Music playlists.

– Find all your Shazams conveniently saved to my Shazam Tracks playlist in Apple Music.

– Listen to any song in FULL, without leaving Shazam!