Unity won't allow animations

At the start of my C# script I have defined all of these variables as animations

 public class Animations : MonoBehaviour {        
     //Fist Animations
     public Animation LeftPunch = null;
     public Animation RightPunch = null;
     public Animation Idle = null;
     public Animation RaiseFist = null;
     public Animation LowerFists = null;
     public string CurrentWeapon = null;
     private bool FistRaised = false;
 
     // Use this for initialization
     void Start () {
         LeftPunch.wrapMode = WrapMode.Once;
         RightPunch.wrapMode = WrapMode.Once;
         RaiseFist.wrapMode = WrapMode.ClampForever;
         FistRaised = false;
     }
     
     // Update is called once per frame
     void Update () {
         
         if(CurrentWeapon == "Fists"){
             if(FistRaised == false){
                 RaiseFist.Play();
                 FistRaised = true;
             }
         
             if(Input.GetMouseButtonDown(0)){
                 LeftPunch.Play();                
                 
             }
             if(Input.GetMouseButtonDown(1)){
              RightPunch.Play();    
             }
             
         }

When I attach this script to the player controller, or the arms model I made the animation with, I cannot drag the animations I made into their spots. It shows the circle with the slash through it.

^ Those spots. I used blender to make the animations, and I did the all-animations-in-one-file and split them according to frames. Why won't it let me use my animations? Ever since I started my project I've had nothing but error after error with animations, and once I actually get them to export it won't even load them.

What am I doing wrong?