You could also read the filenames from STDIN while allowing to pass extra arguments via @ARGV like so:

#!/usr/bin/perl
use strict;

print "Info: ARGV is: @ARGV\n";

while (<STDIN>) {
        chomp;
        next if /^\s*$/; # skip empty lines
        if (-e $_) { # a regular file (might be suited to your needs)
          # do something with $_ as if it were shifted from @ARGV
           print "handling file: $_\n";
        } else {
           warn "no such file: $_ \n";
        }
}
__END__
usr@host:tmp> ls -1  file*.pl | fileabove.pl arg1 arg2 arg3
Info: ARGV is: arg1 arg2 arg3
handling file: fileabove.pl
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It could be used i.e. this way:

ls -1 *.dat | fileabove.pl
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or

fileabove.pl < filenames.txt
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But finally it depends on your needs, which I might not have fully understood...
Update: Added the shebang-line to get rid of extra-calls to perl executable.