Is there a way for submissions to be auto deleted from your site if they are sent to Google Drive?

Our company is worried about none directory information being stored to your website through submitted forms. Is there a way to auto delete submissions if they are sent to our Google Drive?

Yes, that is possible using this app: https://apps.jotform.com/app/auto_delete_submissions 

However, please note that this will delete your submission/s permanently in our servers. Aside from the Google Drive integration that you have, I strongly suggest setting up an email notification with the submission data, just in case you need to have a back up reference. 

Let us know if you need more information on this.