Cooling down your body makes performance improvements more! from systematic review and meta analysis.

https://www.ncbi.nlm.nih.gov/m/pubmed/31340407/

Before or during exercise can be assisted to athlete’s performance. It can be optimized too because it will suppress heat-releasing from your body.
However, it unclear that both aerobic and anaerobic have the same result and depends on where is the most efficient position to be cooled.

They researched 1582 cases. They looked into their exercise type and duration, and intensity and they provided best timing for cooling adjustment.