With all due respect to SO, it is definitely the case that PerlMonks is the “go-to site” on the Internet for Perl related questions.   The greatest concentration of [Perl, and other things] expertise that I have ever found is here, and generally quite willing to jump in and help ... with examples ... for even some mighty esoteric questions.

As others have said, I would solve this problem by using grep to curry out all of the elements that are not zero, then if necessary unshift a list containing an appropriate number of zeros onto the front of the result.   This will have the effect of “moving the zeros to the front” without otherwise altering the order of the elements, although it does so in a different (but equivalent) way.