Question 2D animation for a turn based battle prototype

Hi everyone! I'm trying to make a turned based battle prototype and i don't know the "good practice" for make skills animations.

For example if the player choose "punch" , i want the sprite player move to enemy , make animation for punch,ennemy sprite make defense animation and take damage, sprite player return to idle position.
I'm didn't know if the "punch" button need to execute a script and the script activate/deactivate animation or if it's better to execute animation and activate some script during animation?

I would like to be able to gradually make an interaction between the player sprite and the enemy (like sending him into the air for example)

I'm sorry for my english , i do my best, i hope it's readable tysm!