Use blover to swoosh those Jester zombies

Well, To defeat it, You have to use Area of effect plants or Instant kills in order to beat it.

Here are Plants that will get deflected by the Jester Zombie:

Peashooter

Cabbage-Pult

Kernel-Pult

Melon-Pult

Winter Melon

Coconut Cannon (It cannot deflect the Plant food effect on it)

Citron (It cannot deflect the Plant food effect on it)

Pea Pod (It cannot deflect the Plant food effect on it)

Bowling Bulb (It cannot deflect the Plant food effect on it)

Pepper-Pult (It cannot deflect the Plant food effect on it)

Fire Peashooter (It cannot deflect the Plant food effect on it)

Red Stinger (It cannot deflect the plant food effect on it)

and others.

Now here are plants that can kill the Jester Zombie:

Bonk Choy

Snapdragon

Spikeweed

Spikerock

Lightning Reed

Iceberg Lettuce (Prevents the zombie from deflecting the plants)

Chili Bean (Prevents the zombie from deflecting the plants)

Stunion (Prevents the zombie from deflecting the plants)

Laser Bean

Magnifying Glass

Fume Shroom

Guacodile

Banana Launcher and Endurian.

Hope this helps :)