Open your phone’s voicemail app, then tap (or in some cases, tap and hold) the message you want to save. You should be presented with a list of options; the save option will usually be listed as “save”, “save to phone,” “archive,” or something similar.
Your iPhone can now send spam calls directly to voicemail — here's how to set it up. But, if your iPhone thinks it knows the number — like if you've called someone who isn't in your phone In one instance, for example, I had this turned on and my colleague's calls kept going right to my voicemail.

Before moving on to learning about voicemail message templates, let’s learn some tips to effectively take phone messages. Tips for Taking Phone Messages Effectively . Creating a phone message template is the first step in starting a good phone communication procedure – but …
On your Android device, open the Google Voice app .At the top left, tap Menu Settings.In the Voicemail section, tap Voicemail greeting.Next to the greeting that you would like to use, tap more Set as active. To change your voicemail greeting: Go to Phone > Voicemail and tap Greeting. Then follow the prompts to change the greeting. To change your voicemail password: Go to Settings > Phone > Change Voicemail Password and then enter the new password you want to use.