TouchCopy allows you to copy and export Voicemail messages you have received on your iPhone.
TouchCopy will display and extract voicemails if your iPhone supports Visual Voice Mails. These will be voice mails that are provided as part of the Visual Voicemail data plan from your mobile service provider. You can determine if your wireless carrier includes Visual Voice mail as part of their service from here...
Launch TouchCopy and connect your iPhone using your USB cable.
Click the Voice Mail feature to view all Voice Mails currently stored on the iPhone.
Select the voicemail entries you wish to save.
Click "Save to PC" or "Copy to Mac".
Displaying and Browsing Voicemails
TouchCopy displays a list of people or senders who have left you a Voicemail Message. Clicking on a name in the list displays the voicemails left by that person.
Copying Voicemail to your Computer
How to Save Voicemails from iPhone to Computer - Select one or more Voicemail message(s) from the list and click "Save to PC" or "Copy to Mac" button in the main TouchCopy control bar.
If you do not select any individual messages to copy, TouchCopy will copy all the voicemails currently listed. This may be all the voicemails on your iPhone or messages from a subset of senders depending on what has been selected in the senders list.
Playing Back Exported Voicemails
TouchCopy will save your voicemail messages in the format they are stored on your iPhone - as .amr files. You can play back your saved iPhone voicemail messages using the freeware AMR Player software or QuickTime for Mac.