Smooth Player Movement

Hey there. I'm trying to set up movement for the player that somewhat resembles an air hockey puck on a table. The script I currently have looks like this:

 using UnityEngine;
 using System.Collections;
 
 public class PlayerMovement : MonoBehaviour
 {
     public GameObject player;
     public float speed = 10f;
 
     void Update()
     {
         float moveHorizontal = Input.GetAxis("Horizontal");
         float moveVertical = Input.GetAxis("Vertical");
 
         Vector3 movement = new Vector3(moveHorizontal, 0, moveVertical);
 
         player.transform.Translate(movement * speed * Time.deltaTime);
     }
 }

The problem I'm having is that when I go into play mode, the player will register the movement and try to move, but will be locked in its starting position. It will pull the object in the direction, but it won't go anywhere and just glitches in place. How can I remedy this?