Unlike a physical condition, I don't think you can be cured of a mental condition per say. A broken arm is a broken arm, a problem with the mind is of an infinite nature, and there are therefore an infinite amount of variables to consider. You can't just go to a doctor, and get an operation to cfix this. I think the appropiate term is 'overcome'
The most important thing to consider is that when you have overcome SA, you wont be thinking about it during social interaction anymore, it will just flow more naturally. In other words, you will no longer be so self-conscious. When you start thinking about your actions in social situations excessively, that means the problem has reoccured, or remains.