Thank you for your post. We definitely do support SQL server 2014 for the Patch for Windows database. In our admin guide on page 22, you will find the SQL version supported versions listed.
Only thing I would add after successfully completing the database move, is that prior to doing anything with the existing database, you must stop the Ivanti service or it will put a lock on the database and you won't be able to detach it. Once I did that, the rest of the process was identical to provided link on "How to move your database to another SQL server". Thanks!