If you just want to clean the case as well as the bracelet, you must remove the movement first, quartz or mechanical. There's a risk the intense vibrations could shake something loose if the movement is not removed. The only safe way to put the movement in for cleaning is to completely disassemble it into its component parts first...and then you probably would need some proper watch cleaning fluid.
The first time you use one of these machines on a well used bracelet, you won't believe the muck that comes out.
This first pic is a used Seiko 7T32-7F70 stripped down for cleaning the case and bracelet...I have removed the movement first. Nice clean water.
In here is the case, crown and pushers, bezel and click spring, endlinks, springbars and bracelet. The caseback had already been cleaned.
This is after the 180 second cycle. Note the dirt that has come out, mostly from the bracelet.