Years ago I was watching one of the countless, countless things TV stations have produced about WWII. In there there was a pilot who said the Zero could only turn left which gave him an advantage. I have never been able to find anything that really answers why this was true. if it was true. it seems like a substantial liability for a fighter to have, the inability to turn a certain direction.
So, was this true? Was the Zero the only plane with this problem? If so why did it have this problem?
The torque effect from the propeller of warplanes caused a turning effect to the left - this is one reason that aircraft carriers for example always have their tower on the right. It's less likely to be hit if a pilot lost control on takeoff. Some warbirds with particularly powerful engines or large blades, like the Fw-190, were notoriously difficult to control on takeoff due to the torque effect.
Back to your question. The Zero had no problems turning to the right, but if one was damaged such that the aircraft tended towards the left, the pilot would need to trim the controls to the right to counteract it. This, coupled with the torque effect which meant that aircraft were often much quicker at rolling to the left rather than right anyway, could have hindered the aircraft and made it impossible to turn to the right quickly.