Why Your iPhone Won’t Play Voicemails — The Fix! Close And Reopen The Phone App. As I mentioned earlier, one of the common reasons why an iPhone won’t play voicemails is because the Phone app isn’t working properly. Closing and reopening the Phone app allows it to “shut down” and start again, which can sometimes fix a software glitch.
4 hours agoThe process is very simple. You'll just have to click the green phone icon, the same place you make calls, and navigate to the voicemail screen. On the voicemail screen, you'll see a greetings option on the top left. Once you click greeting, you can change it from default to custom and record your custom greeting.

The telephone systems have the feature named as Voicemail. VoIP is the best example of it. When a receiver is unable to pick up the phone, then the caller can leave the voice message on the receiver’s phone. In older telephonic machines, such messages were stored as a voice message directly, and the receiver can hear them later. In modern telephone systems, such info is being stored on the server of the service provider in the user’s mailbox. It is similar to email in which the messages are saved in the form of audio instead of text.
Whether you can record your own greeting (also known as “voicemail outgoing message”) depends on your carrier and whether they have their own mechanism in place, or integrate neatly with the iPhone’s native functionality.