Speaking is one form of communication - written being another. There are many fluent speakers that communicate poorly. I am a person who stutters. I have joined a Toastmasters club that allows me to practice speaking in front up people on a regular bases - in both prepared remarks and and impromptu speeches. Since I think you are focused on verbal communication - I recommend starting to practice as often as you can speaking with people. Personally disclosing to a person your a speaking with or a group of people you are speaking to that you stutter will be great for your nerves. It allows you and the listeners to know what to expect and be comfortable with it. In college, I had many professors that accents much different than my own - I realized it was up to be as the listener to adjust. Once I did this, it was much easier to learn from them.