There is no true downtime or avoidance of exercise needed after coolsculpting. There can be some discomfort, tenderness, swelling or bruising that will make some exercises uncomfortable. But nothing need be avoided. Some patients prefer wearing compression clothing for a few days after when running or doing other jostling exercises, but it is not necessary.
There is no downtime with the CoolSculpting procedure. You can resume all your regular activities immediately, including going to the gym. However, use your own judgement and if you experience any discomfort then don't over do it. Best of luck.