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.
When you’re looking for a job, a good rule of thumb is to answer your phone as often as you can. You never know when a recruiter might be calling to set up an in-person meeting, or conduct a phone interview.

We now have Visual Voicemail for both iPhone and Android users on our Super LTE network. Click the chat button at the bottom right to learn how you can get it activated on your line.
When recording a personalized voicemail greeting on your office phone, your greeting should include only the company name and your extension number. When recording a personalized voicemail greeting on your office phone, your greeting should include only the company name and your extension number. State your name and spell it out if you’re asking callers to follow up with written correspondence. State your company name and department name. Let callers know that you cannot take their call right now. Invite them to leave a message. What should I record on my work voicemail?