And you can too.
A lot of guys have told me that the issue for them isn't the fact that they can't approach, but more so that they don't know what to say, so they just don't approach. Let me tell you that's bullshit. You can have the perfect script of what to say to a girl and still not approach! Approaching is its own skill to develop not correlating to having something to say. In fact, approaching is honestly the hardest part of dating and social interaction. If you can get this part down, all the other stuff will eventually flow together. But not having this down will lead to you constantly visiting pornhub.
See to get rid of approach anxiety means you have to get yourself out of your comfort zone over and over by approaching even if your afraid. After you do this a number of times, the personal anxiety begins to go away. In all honestly, there will still almost always be anxiety from your body when it comes to approaching, especially if you really like the girl, but what's different is your 'personal' or 'psychological' anxiety. Because you ( your brain) knows you've approached and survived a number of times, you know that even though your afraid, things will turn out ok. And that's how you get rid of approach anxiety...