Yes, you can eat the head of the asparagus. There is no need to remove it before cooking or eating. The head is the most flavorful part of the vegetable. It is also the most nutritious, containing vitamins A, C, and E. Asparagus heads are a good fiber and folic acid source. So, go ahead and eat the head of the asparagus! You'll be getting all of the vegetable's nutrients, including its healthy antioxidants.