Based on the information available, there is no definitive answer regarding the safety of administering Lipitor (atorvastatin) to children. The use of Lipitor in pediatric patients is limited, and it is not approved by the Food and Drug Administration (FDA) for use in children under the age of 10 [1].

For children aged 10 and above, Lipitor can be used to treat heterozygous familial hypercholesterolemia (HeFH) [1]. HeFH is an inherited condition that causes high levels of cholesterol in the blood [2]. The FDA has approved Lipitor for this specific use in children aged 10-17 [1].

It is important to note that the safety and effectiveness of Lipitor in children have not been established for conditions other than HeFH [1]. Therefore, it is crucial to consult with a healthcare professional before administering Lipitor or any other statin to a child [1].

In summary, while Lipitor can be used in children aged 10 and above with HeFH, its safety and effectiveness in children for other conditions have not been established. It is essential to consult with a healthcare professional before administering Lipitor to children.

Sources:
[1] DrugPatentWatch.com. (n.d.). Atorvastatin. Retrieved from <https://www.drugpatentwatch.com/drugs/atorvastatin>
[2] National Human Genome Research Institute. (n.d.). Learning about Familial Hypercholesterolemia. Retrieved from <https://www.genome.gov/For-Patients-and-Families/Genetic-Disorders/Learning-about-Familial-Hypercholesterolemia>