zatanna is going to be top 3 worst match ups, maybe the worst.
Lantern gets bodied in her hat stance by default, but not as bad as Raven's
Regular stance also has plenty of ways to hurt lantern from range and keep him away, while at the same time being able to blow up any counter zoning attempts with teleport.
She's also likely immune to EX Lift mix ups because she'll be able to just teleport away.
Important things to check:
-how her anti-airs fare against Lantern's jump 1 or 2
-how well she can obstruct a grounded turbine from full screen (for ground gaining purposes)
-whether or not a max height turbine will go over her big fireball (this wouldn't be used to get in over it, ideally it would be done so that it'd go over both her and the fireball eliminating her ability to mix up with a teleport or apply completely safe zoning pressure)
-If air turbine helps against her hat stance (her upward projectile has a pretty steep angle so I think the danger of running into it is low. Her standing and ground projectiles look to have pretty low profiles so I'm betting that turbine will clear them. The biggest concern is if her ground pillar has enough of a hitbox to pull him out of the air)
Basically I see this match playing similarly to Raven (which isn't good) but worse because zatanna is just overflowing with tools and will be almost impossible to keep pinned down after a combo.