I have not worked on Parse, but I believe as long there is a REST API available AngularJS can very well integrate with Parse.com. These links substantiate that fact
https://parse.com/questions/does-any-know-of-any-angularjs-sites-that-are-built-with-parse-that-are-open-source
http://brandid.github.io/parse-angular-demo/#/
Said that, AngularJS is a very capable framework with a steep learning curve. The simple stuff is simple but one needs to put ones head down and start learning the not so simple stuff like directives once one starts building any decent size application. The more you invest in learning AngularJS the more rewarding it becomes.
It has a very clean separation in terms of view and code. The code is further organized into modules, factories, services, controllers, directive, filters etc.
But still nothing stops you from creating a mess with the implementation :) What I have realized over the time is even if you create mess within AngularJS the effects are localized rather than affecting the complete application, due to the modular nature of Angular.
I suggest you try creating or looking at some samples with AngularJS (such as TodoMVC)
This is how i felt learning and implementing AngularJS solutions
与恶龙缠斗过久,自身亦成为恶龙;凝视深渊过久,深渊将回以凝视…