Lipitor is a brand name for the drug atorvastatin, which is a medication used to lower cholesterol levels in the blood. It is not a blood thinner [2]. Blood thinners, also known as anticoagulants, are medications that prevent blood clots from forming or getting larger [3]. Therefore, it is not necessary to find blood thinners that are compatible with Lipitor. However, some patients who take Lipitor may also need to take blood thinners for other health conditions, such as atrial fibrillation or deep vein thrombosis. In such cases, the use of blood thinners should be discussed with a doctor to determine the appropriate medication and dosage [2].

Sources:
[2] https://www.singlecare.com/blog/is-atorvastatin-a-blood-thinner/
[3] https://www.healthline.com/health/blood-thinners