Learning to understand native English speakers is hard. The key to making your English comprehension perfect is practice.
The best way to learn is to immerse yourself into the language as much as you can and popular songs can help you do that. Reading lyrics is a very engaging way of improving your listening skills because you normally listen to the songs multiple times. This repetitive mode of listening when you know the lyrics can make it easier for you to understand native speakers.
English instructors can also use films and songs in their classes. After all, learning English is much easier when you're enjoying yourself.