It depends on the E status you can get. If you get sponsored for an E3, forget about it. With an E1 (say, you are the world expert in your field), you can have a green card very quickly. E2 can take a year or two.

The other course, depending on your country of citizenship, is asylum, which enables you to skip the queue and apply for your green card after a year. However, fraud is a big issue and you will eventually get slammed.