Zaha will move to United at the end of this season.
Jackson said: "The kid has got bundles and bundles of ability, and the fact that Manchester United have come in for him says it all really being the biggest club in the country.
"They would have done their homework and watched him plenty of times. They obviously like what they've seen and he's got potential as well to go on and be a top player.
"Good luck to him - he's done it at Championship level and now it's time to prove it at a higher one."