Pokémon Go without Google at all I bought an android phone recently and tried to use it without any Google account and so far that was alright. 
But I wanted to try Pokémon Go today and I cannot play without signing up with a Google account. 
I heard that you could create a Pokémon club account instead of Google but I don't even have the option, only the button to sign up with google appears. 

Does anybody have a solution for that?
Unfortunately Creating a Google Account is currently your only option, It's not hard to create a new account and it will probably be beneficial for many other applications you might download.  It's annoying to create a whole new account just to keep things separated but it's necessary to gain access to Google's location features on Android.