Please check with your reconstructive surgeon if and he or she says it's ok to proceed ahead with CoolSculpting, now that the CoolFit flat applicator is available, doctors can use it off-label for fat reduction of the upper arms. There are risks with all cosmetic procedures so be sure to discuss this with your doctor.
The information provided in Dr. Shelton's answer is for educational purposes only and is not intended to constitute medical advice. The information provided should not be relied upon as a substitute for consultations with a qualified health professional who may be familiar with your individual medical needs.
Web reference: http://www.thenyac.com/zeltiq/index.html