Recent I need to do a minor upgrade of suitecrm 7.9.4 to 7.9.14 and i encountered the problem of zip module not found error. I solved it by going cPanel-> Software -> Select php version -> tick on zip and save the setting.
Next in the same screen, click on the upper right hand corner "Switch to php option" and expand post_max_size, and file_max_upload to 64m.
And set the suitecrm modules, include, cache etc to writable by chmod 777 -R modules.
With that you can proceed to do suitecrm upgrade wizard