"once you remove the screw "
I did remove that screw
"can try getting behind the fan with two same size screwdrivers "
The fan stuck on the shaft, I would remove this fan because it is alreday cracked, therefore even if it gets broken I do not mind.
But I was looking for a professional way to remove non broken fan in case in a future i would need to replace a ball bearing or replace any other parts , I have to remove the fan first (to be able to reach other parts), therefore I have to be careful not to break the fan and remove it in a safe way.