You can now replace your stock Android Phone dialer with the stock Google Phone dialer app.
The requirement for install are for your phone to be run Android Marshmallow and that's it. The app is free, earlier versions could be used on some phones (i.e. my LG G5) but not others it now seems that all Marshmallow phones supported as of now.
Check it out at the Google Play Store link, and if it does not show up for you there head over to the Google Drive APK link below.
Source: Google Play Store, Google Drive APK link