Inbound caller ID on iPhone

We are piloting Zoom Phone for our business. One small issue is how the iPhone handles incoming calls with third party apps. Ideally, I'd see information re: the caller ID and which line the incoming call is coming in for. This is the experience when the phone is unlocked and the Zoom app is active. However, since that's almost never the case, is there a way to get that information on a locked iPhone's screen when the call is coming in? Thanks.