What happen when an email account is deleted from Google Apps after having the IMAP integration?

What happen when an email account is deleted from Google Apps after having the IMAP integration?

We have Google Apps. When we connect the email account using IMAP in Zoho CRM, all emails come to the CRM. What happens when an Google Apps account is deleted? Do all email dissapear? is there a way to let these emails in Zoho after the Google Apps account is deleted in Google and the user is deactivated in Zoho CRM?