I am answering it - your issue is weight transfer, not "pulling" - the engine is also braking as well, so the car doing is two things when entering a corner - it has very little weight over the rear, and the engine is also braking your rear wheels as you are off the throttle. There are more advanced techniques such as left foot braking while applying throttle but that seems to be a bit farther along than where you are.
It not just manual cars although due to no torque converter, when the engine is off the gas there is 100% engine braking with a manual car. There is no pulling though; is just that when driving very fast you have to be mindful of where the weight is shifted on the car - brake and throttle are the only things that effect this really, at least front to back. Steering of course will shift it right to left.
Try this to see what I'm talking about - buy the Ford Focus ST, and brake going into a corner, and then turn with no throttle applied. The rear end will step out - when you apply gas, the rear end will step back inline - this is weight transfer, and car physics 101 - I use that car as an example because its front wheel drive, so the engine has no bearing in this case, and because it has heavy lift off oversteer - I have to drive that car into a corner either on the brake, or on the gas - usually both - will have the gas applied to pull the back end in line, and the brake applied to keep from overspeeding the corner - two benefits; no wild slide that you have to correct, and no turbo lag when exiting the corner.
edit: I am also on a wheel so throttle and brake control are a bit easier, for me anyway - I am still impressed with the new controllers ability to tell you when you are sliding though, so I am sure controller experts can do this just as easily, I am just not one of those