From the user perspective, it sounds like 'nothing is changing' so it all should just work.
If the current location is SERVER-ABC\QuoteWerks, and the new location is SERVER-ABC\QuoteWerks, then nothing to do from the user side of things.
If you're running a SQL database, you'll need to backup the existing database and restore to the new server, and will need to use the same SQL logon/password. (If this changes, you can tell QW the new credentials).
We have Solutions Articles that cover moving QuoteWerks in a variety of types of installs available here too:
I am about to move QuoteWerks to a new server. The server name will be the same and all other aspects of the server will be the same. We currently use server version of QW with about 9 users 2 of which are remote.
I'm going to copy the QuoteWerks folder over and run the setup again. Is there anything I'm missing or does anyone have a link to how to do this? I've looked everywhere and just want to be sure I'm doing this right.