use Archive::Zip;
use File::Find;
use File::Basename;

my $sourceDir = 'C:/sourceDirectory/One';
my $destDir = 'C:/destinationDirectory/Two/';
my @files;

find( \&files_to_archive, $sourceDir );

my $zip  = Archive::Zip->new();
foreach my $file (@files) {
    $zip->addFile( $file, basename $file )
}

if ($zip->writeToFileNamed("$destDir/textFiles.zip") != AZ_OK) {
    print "Error creating archive!\n";
} 
else {
    print "Archive successfully created!\n";
}

sub files_to_archive {
    push @files, $File::Find::name if (/\.txt$/);
}