On the Phone tab, click the voicemail icon below the dial pad, and then click Change Greetings. Skype for Business calls your voicemail and guides you to record a personal greeting.
Another worth considering trick is to remove all the old voicemails that are consuming the storage and creating multiple dilemmas like this. To delete the voicemail here are the steps, Open the Phone app. Tap on Voicemail at the bottom tab. Then tap on Edit at the top-right screen. Select All the Voicemails and at last tap Delete.

Through our website's intuitive message creation tools, we make writing your messages easy! Create company greetings, introductory greetings, announcements, specialty messages, voice prompts, on-hold messages and any other message that you might need to support your phone system. A full library of script examples and guides for best practices are available for you to use.
You've reached Big Apple Cleaners. We are currently closed. Our regular business hours are from 9 am to 9 pm, Monday through Friday. If you would like to leave a voicemail, please include your name and phone number, and we'll respond to you as soon as possible. Thank you and have a nice day.