With such little information provided it is difficult to gauge the problem that you are encountering.
- Have you saved live photos during FaceTime?
- Have you looked under live photos album?
To save FaceTime Live Photos, all participants need iOS 12.1.4 or later, or iPadOS. Not all features of FaceTime Live Photos are available with earlier versions of iOS. FaceTime Live Photos doesn’t work with iOS 11.
- To take a FaceTime Live Photo, first make sure FaceTime Live Photos is turned on in Settings  > FaceTime, then do one of the following:
- On a call with one other person: Tap .
- On a Group FaceTime call: Tap the tile of the person you want to photograph, tap , then tap .
You both receive a notification that the photo was taken, and the Live Photo is saved in your Photos app.