The fan in the furnace keeps running. The heater and the ac works OK but the fan does not
Turn off until I unplug the unit. I plug the unit and the fan starts running again. I unplugged
The TOTALINE thermostat and it still runs. I disconnected the green wire at the control board
And still run. Do the control board is defective or what can cause this problem?

If the fan is controlled off the control board that could be the problem. There is also a fan control on the unit that sends a signal to the circuit board on some models.