I have built an integration called TaskRobin to help you save emails to Airtable. There is no native Airtable functionality that can do this.
With TaskRobin, you just need to forward the email you want to save to a private robot inbox and all your email info like sender, cc, timestamps, message content, attachments, will be saved to Airtable. You can also use #hashtags as you forward your emails to tag them! 🙂