I had this same problem when placing the CloudFlare in my PrestaShop store. After much research, I have realized that the problem was in how I had the code to download the zip file. I have placed the following code and everything has worked perfect. I hope I can help someone else:
header("Pragma: public");
header("Expires: 0");
header("Cache-Control: must-revalidate, post-check=0, pre-check=0");
header("Cache-Control: public");
header("Content-Description: File Transfer");
header("Content-Type: $mtype");
header("Content-Length: ".$fsize);
header("Content-Transfer-Encoding: binary");
header("Content-Disposition: attachment; filename=\"$filename_download\"");
readfile($file);
exit;