Starting particle system when animation plays

use this to get information about current animation clip : https://docs.unity3d.com/ScriptReference/Animator.GetCurrentAnimatorClipInfo.html

  private string _CurrentClipName;
     public Animator animator;
     private AnimatorClipInfo[] _CurrentAnimationClipInfo;
     private float _CurrentClipLength;
     private String _CurrentClipName;
     public bool Instanced = false;
     // create a prefab with your partcles on the prefab object
     public Gameobject instantiateParticleObject;
     private Gameobject TempInstantiateParticleObject;
     
      void Update()
     {
             _CurrentAnimationClipInfo =animator.GetCurrentAnimatorClipInfo(0);
                 _CurrentClipName = _CurrentAnimationClipInfo[0].clip.name;
                 _CurrentClipLength = _CurrentAnimationClipInfo[0].clip.length;
     
     }
 
    void CheckAnimation()
    {
          if (_CurrentClipName == "Slam" && !Instanced)
         {
 
             Vector3 CurrentPosition = this.transform.position;
             TempInstantiateParticleObject =
              Instantiate(instantiateParticleObjcect, CurrentPosition, Quaternion.identity);
             Instanced = true;
 
             //cooldown here
         }
 
         if (_CurrentClipName != "Slam")
         {
             Instanced = false;
         }
         }
 
 
     void OnGUI()
     {
         //Output the current Animation name and length to the screen
         GUI.Label(new Rect(0, 0, 200, 20), "Clip Name : " + _CurrentClipName);
         GUI.Label(new Rect(0, 30, 200, 20), "Clip Length : " + _CurrentClipLength);
     }
 
 

you will need to add your (play particle and destroy().this) script to the particle object prefab but all this should help you get started