Hello @cmaire,
Thanks for using Paid Memberships Pro (PMPro).
All the emails sent from PMPro transactions can be switched on and off on the templates page.
go to:
Memberships > Settings > Email Templates.
Use the pull down to view the Template you want to modify. A check box to disable email template it will appear above the editor.
More information about Email Templates can be found here:
https://www.paidmembershipspro.com/documentation/member-communications/customizing-email-templates/
Please let me know if this is what you are looking for.
Kim W