Sign up Pokemon Go Anonymously using Trainer Club is possible but, there is no Google Option to sign up Pokemon Go Game. This problem is fixed here in this video. If you having trouble to create account in Pokemon go then you can create it by watching this video.
Here I have sign up in Pokemon Go game using Google account.
Step 1: Install Pokemon go Latest version.
Step 2: Open game and enter your birth date (It must be age 18+ for Google option)
Step 3: Select Google or Facebook any one.
Sign Up for Pokemon Go Trainer Club: https://youtu.be/7shgLkjTtiQ
Step 4: Select a account if you have multiple account.
Step 5: Wait until game start and PLAY. ( Don’t Forget to Enable GPS).
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Unable to Authenticate pokemon go [Solved]: https://youtu.be/W3NOxog6q2o