To suspend all emails for the specific email address from Plesk please follow the following steps:-
1. Login to Plesk control Panel.
2. Click the "Domains" shortcut in the navigation panel.
3. Click the required domain name in the list.
4) Go to Mail Accounts.
5) Click on "E-mail address > Mailbox".
Note :-The above email address will be the one for whome you wantto disable emails.
6) Clear the Mailbox check box.
7) Click OK.