What's a shorter way of saying, "Can you increase the temperature of the air conditioning please?" [duplicate]

In my UK based experience, "air-con" makes things cold. (Side note:It also makes the air dryer; useful when de-condensing your car's windscreen.) You could therefore say "turn the heating up" or maybe even just "turn the heat up".

The US typically has HVAC (Heating, Ventilation And Cooling) systems. Therefore, potentially saying "turn the HVAC up" might work.

The target heat is controlled by something called a thermostat. Therefore you could consider "turn the thermostat up".