record a macro on the fly
open workbook where you want to append the data
open a workbook where you are getting you data to do the append
record macro
do a shift control home, then put your cursor in cell a1, then do a shift ctrl end then ctrl c to copy then select window and the other work book, then put your cursor into cell a1 then do a ctrl end, ctrl left arrow, then a ctrl p to paste
then flip back to your other workbook and close it.
Then stop recording. Look at the macro that was created.
then you can see the relevant syntax and then modify tweak to automate more fully, ie inputbox for filename, directory paths, etc, starting line, ending line, however you want to tweak.
This is a good way to learn how to do macros, record what you are trying to achieve and then review what the recorder has done and fill in the gaps.