I tried google searching this question but no luck with that, maybe someone here has another option?
I can do this but would rather avoid doing that ,as in this scenario i would need to re-download all my apps.
(There is another way to remove your account without rooting it, simply uninstall all 4 apps( google account manager, google services framework, google play services and google play store) and reinstalled them again.)
I found this one video on YouTube ,but his is not an Amazon tablet and would avoid the rooting option.
https://www.youtube.com/watch?v=9kUmw0sKHqE