You need a carrier that supports Visual Voicemail in order to save Visual Voicemail messages. If you aren't sure whether your carrier supports Visual Voicemail, contact them for more information.
How to save and share your voicemail
To save your voicemail message as a note or voice memo, or to share it using Messages, Mail or AirDrop:
- Go to Phone > Voicemail.
- Tap the voicemail message that you'd like to save, then tap the share button .
- Choose Notes or Voice Memos. Then save your voicemail message. Or choose Messages, Mail or AirDrop, then type and send your message with the attached voicemail. You can also share the voicemail by tapping an AirDrop contact.
You can also save Visual Voicemail messages with the Files app.