I am sorry, but had only missed one line, but here it is:

#!/perl/bin/perl -w

use strict;
use warnings;
use CGI qw/:standard/;
use CGI::Carp qw(fatalsToBrowser);
use File::Find;
use Archive::Zip qw( :ERROR_CODES :CONSTANTS );

# @chunks could be: file1.txt file2.txt file3.txt or more files or jus
+t one
my ($arch_path, $dir_archive_name, $outname, my @chunks);

my $htdocs_out;
        open $htdocs_out, '>', "$arch_path/$dir_archive_name/$outname"
+or die $!; 

              foreach my $chunk_file(@chunks){
              my $chunk_zip = Archive::Zip->new();
              my $chunk_zipped;
              $chunk_zipped = $chunk_zip->addFile( $chunk_file );
              print $htdocs_out $chunk_zipped;
              }
                                       
        close $htdocs_out or die $!;
[download]

Thanks again!