In a study titled 'Role of handedness in flying performance', the author notes:
[Leon had reported] that movements in one limb were not affected by actions in the other limb. It may be for similar reasons that in multi-crew cockpits of transport and passenger aircraft, pilots have not reported any difficulty in operating controls at either the left or right seat even though the layout of the controls is a "mirror image".
From an observation that may or may not have been studied, operating controls is not like handwriting—handwriting requires major shifts in body position to use the other hand. The human brain is really good at ordering one hand to mirror or follow the path of the other hand. If you think of the yoke as a steering wheel, then when switching from right to left seat, the left hand follows the circular path of the now free hand.
It takes getting used to, but unlike handwriting, it's very quick. I've done this experiment years ago. If you have a flight simulator, setup the plane on approach and switch the joystick from your preferred side to the other. In my case, just like the study above, I did not find any difficulty.
Above is the cockpit of a Cirrus aircraft, it's often remarked that the stick resembles half a yoke, and would be operated much like any yoke. The same is said about the Airbus stick.
But Airbus also has an armrest, which is very beneficial as the precision increases when the arm is rested, see here: Why don't we fly helicopters with yokes?