This is (most probably) a callback method you want to test.
If you want to test a callback, you would need to understand mocking.
In very basic terms, mocking lets you create a fake source object and invoke some request method on it, and then verify that a particular callback has been invoked with certain parameters. Read about Mockito, which can be easily integrated with Android Studio: http://site.mockito.org/
Secondly, you code calls android-specific code:
BaseApplication.getInstance().setAccessToken(response.getToken().getAccessToken());
commonNavigate.navigateToHomeScreen((HomeActivity)view);
This code has dependency upon Context object. Please read what Context object means in Android and how it is shared in Application/Activity/View classes. "navigateToHomeScreen" method surely needs a Context!
Either you will mock android dependencies with fake objects, or you could run Instrumented tests which provide Context and other Android-framework-defendant objects.
To sum up - these are wide and complex topics and you should make a research on them first.