While Zoom runs credibly on iOS, you can’t record locally and unfortunately they make you jump through at least one hoop to download a call if you’re on iOS.
The key to being able to get your video or audio out of the Zoom web interface is, as always, iCab set to show your browser as Safari macOS. You’ll need to make sure that you have your video set to share and that you’re allowing others to download the video when they’re viewing it.
From there, it’s a matter of viewing the sharing link and then downloading the video. No, it doesn’t seem that hard, but it’s much harder than it should be. As far as I’m concerned, Zoom should let you download your files from their iOS app, or from any browser. I have no idea why they’d hide the UI to download the file if you’re on iOS.
You can watch the video to see the exact process I use to grab the videos from my client calls.
Photo by: kyle_slushey_is_awesome