Optimum acceleration in automatic mode.

Hello motor talk members! Unfortunately, I’m not familiar with automatics. How can I speed up with automatics as quickly as possible? I was told that, unlike a manual transmission, instead of with the clutch, I should increase the speed with the brake pedal and at the same time give the gas to just walk off the brake. Is that true or is a normal kickdown enough to speed up with ESP switched off as soon as possible? MfG Mert