Burncycle:

I don't know what type of filler material is in your Zippo, but mine has what appears to be cotton batting with a compressed formed cotton cover over the batting with a hole in it for clearing the flint tube. I put my flints (5) under that cover so it is between the batting filler and the cover and in that way, I do not have to remove or worry about the flints getting lost when I refill with fluid.

Bountyhunter