I’d like to go back to my root view from within a class method of view 1. When in an instance method of view 1, i would just say
[self.navigationController popViewControllerAnimated:YES];
but since self doesn’t apply in a class method, I am wondering how to accomplish this. Pertaining to the illustration below, I am currently in a class method of View1Controller.m and I’d like to get back to Rootview. Thanks.

You can declare another method:
Then use NotificationCenter:
Although as jonkroll said, you’re dealing with view controller stuff, we don’t understand why you would put view controller related code inside a class method.
Edit
Sorry bad code above.
I meant to say you can use NSNotificationCenter to post a notification:
Then in the same view controller declare a NSNotificationCenter observer:
My brain was quicker than my fingers, so I kinda combined the two into one when I tried to explain the solution 😛
It should more like this:
In your viewDidLoad method somewhere (I recommend at the top), add this:
Hope that helps.