If thermostat is stuck open will it make your engine cooling fan run constantly?

Im assuming your speaking of the engines internal thermostat ? if this sticks open (not likely) then temp gauge on car will never reach operation temp and stay low on scale ( entire purpose of thermostat in first place) now if your coolant fan switch sticks closed (very likely) then your fan will run constantly and only shut off with the key


also another condition that makes them run more often is that engine temp gauge is over normal (showing) and this is an indicator that cooling system has a problem and needs service

NO !
stuck closed, yes and is called gross overheated engine.

the not likely comment is incorrect.
they sell thermostats in all our stores here, called the fail safe brand and all stick open (latch) to save the engine.
The thermostat detects overheat, the latches open (its a feature)
but not on stock thermostats ever. im sure its not stock. 93'
if it sticks open a good engine runs too cold and makes lots of black smoke (fuel wasted) and more.....