You could use the following code, but it is important that you actually understand what it does and you don't just blindly copy and paste it .......
Code:
find /home/site/public_html/pics/files/ \( -name "*.zip" \) -type f -exec rm {} +
Warning - this will also recursively loop through all the folders below the defined folder as well
If you just want to limit the find to the configured folder use
Code:
find /home/site/public_html/pics/files/ -maxdepth 1 \( -name "*.zip" \) -type f -exec rm {} +
The best way of using this is to create a shell script and then call it by cron.
If you don't have access to shell, you might want to explore using php to do the same thing
See
PHP: unlink - Manual
When you have decided on what script you are going to run, and have tested it, full details of how to add the cron job are available at
Cron Jobs - Version 74 Documentation - cPanel Documentation