Whisk eggs and green chiles together in a mixing bowl. Transfer to a 9-inch, microwave-safe pie dish.
Microwave on High power until eggs are set around the edge, about 3 minutes and 30 seconds. Use a fork to scramble eggs. Top with pepper Jack cheese. Microwave for 1 additional minute. Allow to sit for 1 minute to allow eggs to set and cheese to melt before serving.