Look for a recessed hole that has a set screw or allen head bolt. In many cases the decorative part is "hung" from a backer plate that is screwed to the wall.
Mine have the recessed hole on the bottom and have a small set screw. Once loosened the piece will come right off exposing a bracket which is screwed to the wall.
The newer models have the recessed screws, not seeing anything on these. My guess is it's going to be chisel and HAMMER! That will relieve some of the stress that goes with moving, packing and unpacking....Thanks
A hammer is one way ....but it does not leave much for a re-install.
Had the same issue. Used a hammer .....I had no visible way to remove the towel bar and then I replaced it with a new satin nickel one. Try not to damage the drywall.
I bought a shelf and put it right on top of the towel bar which was tiled into the wall and so basically just hid it!
If it isn't set into a tiled wall, there should be a screw you can remove as suggested above. Good luck.