The whole voice enabled channel deployment has a lot of shortcomings. From no missed calls, or not seeing answered calls from other users. It seems voicemail is no exception. You can mark a voicemail as read but it only shows as read for you. With no way to delete shared voicemails through the Teams app, it makes it onerous and almost impractical to manage through Teams.
One suggestion to help manage this would be to allow reactions or emojis on call/voicemails. So people can show, Hey such & such has reacted:
:wrench: and is working on this voicemail
:white_heavy_check_mark: and has actioned this voicemail
