I guess I can spare Nessiah the trouble this time...
I don't completely understand you, but here goes.
If you don't want to show damage for each hit, then show the battle animation as normal, calculate the damage, but don't actually take away from the enemy's HP.
Instead, you add up the damage of each hit, and then take away from the enemy's HP once you're all done at the end.
Now if you don't want to show damage numbers at all, then then, you'll have to make a custom HP system for the enemies, where their HP is stored in one variable for each enemy, and have attacks take away from the HP variable. This way, no damage numbers will be shown.
But trust me, you don't want to do this. It's tedious, and you want to get your game out in this lifetime.