While we typically recommend using HD video to display cinemagraphs on the web, email is an exception. A GIF is the only file type that'll autoplay and loop your cinemagraphs for most email clients. Unfortunately you can't control autoplaying and looping video within emails, which is why GIFs become the only reliable file format.
There are a few ways you can save your cinemagraph in GIF format. The easiest way is by exporting your cinemagraph as a GIF from Cinemagraph Pro for macOS. Click Export in Cinemagraph Pro, located at the upper right side of the app or under the File menu. Select Animated GIF under Format.
Make sure your cinemagraph loop is short and do not add any additional repetitions. A cinemagraph loop of 1 - 3 seconds is ideal to keep the file size down. If you’re sending your emails to large companies, they may block messages that are unusually large. Try and keep the total size of your email, including your GIF or any other content, to 10MB or less. The example below is only 300 x 300 and 695 KB which would work perfectly for emails.
Cinemagraphs by Andrew Pavlidis, Cflow, and Apricot Berlin
Read Saving Cinemagraphs in GIF Format to learn other ways you can save your cinemagraphs in GIF format.