Can you have CoolSculpting if you are on statins?

Absolutely!  CoolSculpting does not affect triglyceride or lipid levels in the body.  There have been a number of studies done when CoolSculpting was in its infancy looking at blood levels of cholesterol and other lipids before and after CoolSculpting treatment.  The results of the studies showed that it is not affected by treatment.

It would be okay to have a CoolSculpting treatment if taking statin medications for high cholesterol.  The medication would not affect the results of the procedure and vice versa.  

You can definitely have Coolsculpting while taking statins or other medication for high cholesterol.   Coolsculpting won't effect your cholesterol or the effects of medication nor will the medication effect your treatment outcome.   Best of luck.