Eating Both Chicken and Broccoli normally is healthy. Because they contain iron, which helps fight off blood disease, promote brain health, and allow your muscles to function properly. But it's a different ball game when you actually make these two foods your only meal. The Chicken And Broccoli Diet can be healthy if you follow it for a short period of time. However, following it as a long term diet is not recommended because it overlooks crucial fibre and nutrients from your everyday intake.