Tap Record a new greeting. Note: If necessary, delete an existing greeting (limit of 2 greetings) to make room for the new greeting: Tap the Menu key, tap Delete greetings, tap the check box next to the desired greeting, and then tap Delete.
Navigate to your Phone app located at the bottom of your iPhone home screen. Tap-open the Phone app. Once you have done that, you will see a voicemail logo the bottom right corner of the window that has opened, select that voicemail icon. That action will open the visual voicemail interface. At first, all you will see is a blank screen with a

Part 1. How to Change and Record Voicemail Greetings on iPhone Setting a voicemail greeting is important when we missed a call and let the people calling you know they have reached out to the right person and remind them to leave a message after the greeting. To record a personalized voicemail greeting, here are the steps that you have to follow.
Tripboba.com - Voicemail is a voice message that a caller will leave to your mailbox when you’re absent or busy with another conversation. The same goes if you’re trying to call someone else and they don’t answer. You can leave a voice message and they will receive the mail, allowing them to hear what you want to say.