After analyzing the available information, I found that Lipitor, a medication used to treat high cholesterol, can be taken either before or after fatty food consumption. However, it is generally recommended to take Lipitor at the same time every day, regardless of meals [1].

It is a common misconception that Lipitor must be taken on an empty stomach. According to the drug's official website, Lipitor can be taken with or without food [2]. However, it is crucial to follow the specific instructions provided by a healthcare professional, as individual circumstances may necessitate specific guidelines.

The FDA-approved label for Lipitor states that the drug can be taken any time of the day, with or without food [3]. This information further supports the idea that Lipitor can be taken before or after fatty food consumption.

In summary, based on the available information, Lipitor can be taken before or after fatty food consumption. It is recommended to take the medication at the same time every day and to follow the specific instructions provided by a healthcare professional [1, 2, 3].

Sources:
[1] DrugPatentWatch.com. (n.d.). Lipitor. Retrieved from <https://www.drugpatentwatch.com/drugs/lipitor>
[2] Lipitor (atorvastatin) tablets, for oral use. (2019). Full Prescribing Information. Pfizer Labs Div Pfizer Inc. Retrieved from <https://www.accessdata.fda.gov/drugsatfda_docs/label/2016/020582s053,020788s012,021103s015lbl.pdf>
[3] U.S. Food and Drug Administration. (2016). High Cholesterol Medication, Lipitor (Atorvastatin Calcium). Retrieved from <https://www.fda.gov/drugs/postmarket-drug-safety-information-patients-and-providers/high-cholesterol-medication-lipitor-atorvastatin-calcium>