Hadar Shemesh argues that a non-native accent isn't a defect to hide. The desire to reduce it often comes from limiting beliefs: fear of not being taken seriously, or thinking fluency means sounding like a native American speaker. She urges examining why you want speech work before pursuing it.
Chapters
There is nothing wrong with a non-native accent, and you don't need to hide it. And the thought of reducing your accent usually comes from a limiting belief, as if you won't be taken seriously or you will not sound fluent unless you sound like an American or unless you sound like a native speaker. But it's really important to identify what is leading you in your pursuit of speech work, because if the need is to eliminate any element of you being a non-native speaker, then I recommend that you start looking at the value that you have as a non-native speaker, at the fact that versatility is great, that we all sound different no matter where we're from, and it is okay not to be the same as anyone else.