When conducting a short-term radon test, should the air exchanger be running or not? Great question. I've heard it argued both ways. If a home is designed to have an air exchanger running, I say it ought to run during the radon test.
Here's my video discussion on the topic:
What's an air exchanger and how does it affect radon?
An air exchanger, also known as a Heat Recovery Ventilator (HRV) or Energy Recovery Ventilator (ERV) is a big box in the furnace room that exchanges the air in a home. You'll typically have four ducts on these systems; one brings stale air into the unit from the house, a second brings stale air from the unit to the outdoors, and the other two do the opposite. They bring fresh air into the unit from the outdoors and then bring fresh air from the unit into the home.

Inside of the air exchanger, you'll find a heat exchanger to recoup some of the lost energy. While an air exchanger typically isn't installed as a radon mitigation system, a running air exchanger will reduce radon levels in the home*, because stale indoor air is replaced with fresh outdoor air.
I attended a seminar on air exchangers and radon back in 2004 where the instructor explained that an air exchanger running at full speed, 100% of the time, has the potential to cut radon levels in half. I can't remember how he arrived at this conclusion, but it sounded good to me at the time.
My own personal experiences have been in line with this information. I once accidentally tripped a basement GFCI receptacle about halfway through my home inspection, which caused the HRV to turn off for the last hour of the radon test, which caused a huge spike in radon levels for that last hour. Here's the graph from that test:

Authoritative Reference
When Minnesota required licensing at the beginning of this year to test for radon, we adopted ANSI/AARST Protocol for Conducting Measurement of Radon and Radon Decay Products in Homes (ANSI/AARST MAH-2014). You can find that information under Minnesota Statute 4620.7500 B (1). Unfortunately, MAH-2014 isn't a public document, but I'll share with you what it says about running an air exchanger during a radon test... which is law in Minnesota.
"Energy recovery or Heat Recovering ventilators: Normal operation of permanently installed ventilation systems that bring outdoor air into the home (also called air-to-air heat exchangers) is permitted to continue during closed-building conditions so long as the system is regularly maintained and continuously operational."