This phase II trial studies how well amiodarone works in the prevention of atrial fibrillation (AF) after a minimally invasive esophagectomy (MIE) in patients with esophageal cancer. Atrial fibrillation (AF) is an irregular heart rhythm, usually associated with a rapid rate, that is caused by abnormal electrical activity within the atria. AF is the most common complication after MIE for esophageal cancer. There has never been a study of AF after MIE that has used unbiased assignment of patients to receive preventative amiodarone or not. Further, there is no standard recommendation or guideline for preventative medications, such as amiodarone, to decrease the risk of AF in patients having MIE performed for cancer. In fact, most medical centers in the United States and around the world do not give preventative amiodarone after esophagectomy. Giving amiodarone after MIE surgery may be able to reduce the risk of AF for patients with esophageal cancer.