It's about time, Pocket. This is one of the first apps I install on any Android device, and each time I have to type in my login credentials the good old fashioned way. Now Pocket has received an update that speeds things along. With version 5.2, you can use your Google account to sign up or log in to the app. Thank you.
For the sake of comparison, here is what Pocket's sign-in screen used to look like.
The latest version introduces a new "Find & Use Accounts" permission, so you will need to manually approve the install.
Google+ sign-in is the only new feature introduced by this updated, and at the end of the day, that's perfectly fine by me.