You can record FaceTime video calls on your iPhone and iPad in a few simple steps. Note: The below method will only allow you to record video.
The below instructions utilize the built-in screen recording feature of iOS and iPadOS in order to record the FaceTime call. Once done, the video file will be saved in the Photos app.
Step 1: Make sure screen recording is set up in Control Center. Head over to Settings > Control Center and add the Screen Recording toggle to the Included Controls section.
Step 2: Start your FaceTime call using your iPhone or iPad.
Step 3: Open Control Center by swiping from the top right hand corner of the display or swipe up from the bottom if you have an iPhone or iPad with a Home button.
Step 4: Tap on the Screen Recording button and the display will start recording after a small countdown.
Step 5: Once done, bring up the Control Center again and tap on the Screen Recording button.