
Method#1 Soft Reset or Reboot your iPhone: Here is a list of solutions that can help you tackle the issue.

Then, turn the Caller ID on or off by flipping the switch. You can accomplish this by choosing the Show My Caller ID option under Settings-> phone from the menu. You might need to alter your Caller ID settings if the Caller ID feature isn’t functioning for your outgoing calls. Because of this, the name of the incoming caller is hidden. It’s possible that someone trying to contact you have turned off their device’s caller ID. Then, put a last name in the “Last name” field

However, Verizon doesn’t ensure that your caller ID will be changed, as this depends on whether the recipient is using the same service.

The relevant issue, where the Caller ID on the iPhone device abruptly stops working, is shown below, along with necessary workarounds and general fixes.

However, it’s quite straightforward to turn your caller ID off if you own an iPhone. Caller ID on your iPhone can only be turned on and off it cannot be modified. Since the carrier sets your caller ID, not your iPhone, you cannot change it.
