Practice specific ball handling, penetration and dribbling and passing skills you can effectively use against zones from specific positions. I believe teams that have exceptional ball handling, passing, and penetration and pitch skills most effectively attack zones. Teach your players to maintain good interior and perimeter spacing by properly timed movement to create triangles in gaps. When your players do cut into gaps teach them to seal their outside zone defender with their backside creating a big target space for passers and with their hands giving a clear target. Teach them when they get the ball in tight quarters to square up and face the basket every single time as if they are going to take the shot.
Defenses defend players who look like they can score.
Your eyes draw defenders not your physical fakes. If the zone defender closes hard, teach them put the ball on the floor hard, safely and confidently with a low and extended dribble deep behind the gapped defenders. Teach them on any cut by a teammate that there will be a natural gap caused by the cut and to either permanently or temporarily look to fill that gap for an easy shot or passing option. Your ability to get the ball consistently inside against a zone and score will increase your teams perimeter shooting percentage 10-15 percent per game. All of these are subtle but important teaching techniques for being able to effective attack zone defenses.