I used to be able to save whole albums in my Library but this option is no longer available. After much googling, many messages to and from a Spotify Customer Service officer including screenshots and clean reinstallation of the app, I was finally informed that this was a known technical issue that was being looked at but no timeline to fix the issue was available.
By posting this message I am hoping to save other Spotify users from wasting their time.
If you tap on the 3 dots under the album name, select “Add to playlist”, then “create new playlist”, you can save the album in Playlists but not in Albums. Hope this helps.