Enter Numbered Parameter during pouse

Is there a way to prompt operator to enter parameter #5410? The idea is to let operator enter tool diameter during (manual) tool change when machine waits operator to change tool.
Tool change is done by subroutine g-code.

The answer is it can be done. How comfortable are you with programing your own little popup window?
There is no ready made way to do it.
Here is one way:
forum.linuxcnc.org/38-general-linuxcnc-q...-a-variable?start=10
In this example a custom Mcode (M131) opens a TCL pop up window where the user can input a value.
That value is given to the hal pin "motion.analog-in-00", then in your Gcode you can use M66 E0 L0 to set that value to #5399, you can then use that in your g-code to set the value to #5410.
You could also do it with python, possibly reading/writing the parameter value directly. (I've never done it myself and the above example is the first thing I found in a search. tested and works.)