Zatanna really needs to have some unique magic that let's her fight without using words. Something that Zatanna barely does is beat her enemies to a bloody pulp.
I love the feeling of catharsis I get whenever I see Batman, Spider-Man or Daredevil beat the crap out of bad guys. Physical combat is very versatile so it can depicted in numerous ways unlike a power such as lightning.
Zatanna doesn't have much muscle and isn't as experienced in fighting. That's why she needs some magic that can assist her in fighting without saying a word. I suggest something like a Doctor Strange cape or a venom symbiote or Sindel's hair.
Zatanna's coat has tails. Maybe they can be used as tentacles like Doc Octopuses mechanical arms to slam and punch enemies or something like Evelynn's lashers from league of legends.