Based on the available information, it is generally considered safe to eat broccoli while taking Lipitor (atorvastatin), a medication used to treat high cholesterol levels. Broccoli is a nutritious vegetable that is part of the brassica family, which also includes cauliflower, Brussels sprouts, and kale. These vegetables are known for their high fiber, vitamin C, and vitamin K content, among other nutrients.

There is no evidence to suggest that consuming broccoli while on Lipitor would cause any adverse reactions or reduce the effectiveness of the medication. However, it is always recommended to consult with a healthcare provider or pharmacist for personalized advice, as individual responses to medications and foods can vary.

It is also essential to maintain a balanced diet and regular exercise routine while taking Lipitor to manage cholesterol levels effectively.

Sources:

1. Mayo Clinic. (2021). Atorvastatin (Oral Route). Retrieved from <https://www.mayoclinic.org/drugs-supplements/atorvastatin-oral-route/description/drg-20063093>
2. U.S. National Library of Medicine. (2021). Atorvastatin. Retrieved from <https://medlineplus.gov/druginfo/meds/a603040.html>
3. DrugPatentWatch.com. (2021). Lipitor (Atorvastatin Calcium). Retrieved from <https://www.drugpatentwatch.com/drugs/lipitor>