RE: Is there way to read function invoked and its parameters?

[Drew Adams]

> Would this concept be possible in Emacs Lisp:
> 
> (defun my-function (arg &optional arg-1 arg-2)
>   (call-other-function (this-function-called parameters-to-this-function)))
> 
> Then the other function would receive something like
> 
>  (my-function ARGUMENTS)

Reading quickly, so perhaps not understanding the request.
But I'm guessing that advice is what you're looking for.

(elisp) `Advising Functions'

https://www.gnu.org/software/emacs/manual/html_node/elisp/Advising-Functions.html