Objects from Custom Classes

I am working on a custom turn based combat system. The whole "turn based" part is done, but I'm struggling a bit with the combat part. Most specifically with making skills. I have made a class for the skills called Skill, which looks like this:

 #pragma strict
 
 public class Skill extends MonoBehaviour {
 
     var cost : int[];
     var skillName : String;
     var element : int;
 
     public function Skill (manaCost : int[], n : String, e :int) {
         skillName = n;
         cost = manaCost;
          element = e;
     } 
 }

My question is, how do I make skills with this to be stored and used by several different GameObjects throughout the game? I would like to just be able to drag and drop skills into the inspector window if possible, and know what to do if it isn't.

Update: By just putting the constructor script on an object, I can now have them in the scene, but is there a way to simply have them in assets? Making a prefab out of the object with the script didn't work