Some of those plates do not pop off, some are threaded on.
Even if they pop off, lots of times are stuck in the paint / finish of the door like glue.
The solution when you don't know what to do is get a pipe wrench or something like it that with teeth that can grip into it. Try turning it, to the left or counterclockwise, they should have standard type threads.
Whatever the cause, it will either turn off as in threaded or if pop off, come off as you turn. The amount of force needed can surprise you.
Need to use care, tricky to grab the plate with the wrench without marking door. Open door so you can stand by edge, turn a wee bit at first with force to break it lose and give an indication of threaded or pop off.
Tougher to describe than do.
