It depends on where you are in the green card process. If you are somehow in the last stage, with a pending I-485 application, you do have job flexibility (know

It depends on where you are in the green card process. If you are somehow in the last stage, with a pending I-485 application, you do have job flexibility (known as portability). Short of that, the only way to get out of this awful loop is to pursue a self-sponsored EB1A green card, but the standard is high as you probably know.