Your Apple iPhone can work with more than one email account, so that you can manage everything from work to friends and family. You can, of course, stop receiving emails on just specific accounts. For example, you can stop receiving emails on the work email when you're on vacation. You can also stop receiving emails on all accounts if you're running low on battery. This is a temporary measure, so you can resume receiving emails on all or just specific accounts at any time.

Disable Email Accounts

Navigate to the "Settings" menu from the Home screen and then open the "Mail, Contacts, Calendars" menu. You can change all settings related to mail from this menu. Tap the email account you want to disable in the Accounts section to view its settings and then slide the "Mail" slider to "Off." Note that the slider is labeled "Account" if you are trying to disable an IMAP or POP account. You can repeat the procedure to disable more email accounts. To resume receiving emails, slide the "Mail" or "Account" slider to the "On" position.