There is a way to save a voice message on iOS mobile by recording it on Notes or Voice Memos and set them as voicemail greeting. Also, you can share them using SMS, Email, Airdrop, Google Drive, and more, to make a back-up of the recorded voicemail. It isn't delightful when you expect a client call and can't answer it at the moment. You can't get all your phone calls at all times, especially when you are busy with your work. That is why it is important to record voicemails on your iOS device and set it as a response on an incoming call. Therefore, we have listed the steps below on how to capture voicemails on iOS.
If you never recorded one and want to record or change a voicemail greeting, you've come to the right place. The 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.

After creating, the Voicemail Greeting, you can test it by calling to your number from another phone, and see if it is playing correctly or not. Open the Phone App. On the lower screen, tap on the Voicemail option. Select Custom, with this option, you can record the personal voicemail greeting on the iPhone. Tap Record, to start recording the voicemail greeting message on the iPhone. Greeting samples are given in this article below, Once you are done with recording, tap Play to listen. Lastly, if everything is alright, and custom voicemail recording is perfect, then tap Save.
You may think your voicemail message is professional. But when you listen back it could sound rushed or shaky. Listen to it regularly to see if changes are needed.