My 2006 impala reads engine hot ac off and the temp gage is stuck on cold

Chevy Impala 2006 2011 Factory Service Workshop repair manual

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Well it can be one of too things the gage or the temp sensor.
its most likely the sensor. The temp sensor is normally mounted with the thermostat housing which is on the top of the engine and has the top radiator hose going to it if you can't see it, try taking off the plastic covers. With the ignition on so all gages are reading go and unplug the sensor the gage should drop back strata way, this tells you that you have the wright sensor there are sometimes 2 one for the gage and the other for cold starting. There is a possibility that the problem may be coursed by a squashed or rubbed throw wire so if you can't make the gage return to cold by disconnecting the wires then start following the wires back along the engine.
I think you will find a faulty sensor is the cores of your problems and should be easy to pick up at any car part place.

You will need a high end scat tool to see what the temp sensor is reading and whether or not the logic module in the instrument cluster is getting the correct signal.

I’m happy to assist further over the phone at https://www.6ya.com/expert/jeremy_d728a59f986299fa

After much research the only answer I found was to change the Heat Sensor. This is the problem we just had last week.

Have the Lower Intake Manifold Gasked inspected. Also, check the oil to make sure that coolant is not mixing with it.

bad gage sorry to say

cold or normal temp? Check coolant level. if the level is low, the temp sensor cant read correctly

My truck is doing the same thing, also the gas gage is no longer correct, it was all due to a wiring harness i believe, covered by warrenty

Mine did the same thing. The thermostat was stuck open. Replace thermostat, the problem went away. If stuck open, it doesn't get to operating temperature when cold and indicates the engine is too hot when it's warm outside.

This is trying to warn you of a problem with your cooling system. Check the coolant level Cold, and add if needed, look for signs of a leak. while driving keep an eye on the temp gage and stop if it overheats