Renames selected GameObjects in the Hierarchy based on their attached Sprite names from Image or SpriteRenderer components.

RenameByAttachedImage.cs

using UnityEngine;
using UnityEngine.UI;
using UnityEditor;

public static class RenameByAttachedImage
{
    /// <summary>
    /// Called from the right-click context menu in the Hierarchy when objects are selected
    /// </summary>
    [MenuItem("GameObject/Rename By Attached Image", false, 0)]
    private static void Rename()
    {
        // Process all selected objects
        foreach (GameObject go in Selection.gameObjects)
        {
            // Get Image or SpriteRenderer component
            Image imageComp = go.GetComponent<Image>();
            SpriteRenderer spriteRenderer = go.GetComponent<SpriteRenderer>();

            // If neither component is found, log a warning and skip
            if (imageComp == null && spriteRenderer == null)
            {
                Debug.LogWarning($"{go.name} does not have an Image or SpriteRenderer component");
                continue;
            }

            // If Image component exists
            if (imageComp != null)
            {
                if (imageComp.sprite == null)
                {
                    Debug.LogWarning($"No Sprite is attached to the Image on {go.name}");
                }
                else
                {
                    string newName = imageComp.sprite.name;
                    go.name = newName;
                    Debug.Log($"Renamed to {go.name}");
                }
            }

            // If SpriteRenderer component exists
            if (spriteRenderer != null)
            {
                if (spriteRenderer.sprite == null)
                {
                    Debug.LogWarning($"No Sprite is attached to the SpriteRenderer on {go.name}");
                }
                else
                {
                    string newName = spriteRenderer.sprite.name;
                    go.name = newName;
                    Debug.Log($"Renamed to {go.name}");
                }
            }
        }
    }

    /// <summary>
    /// Enable the menu only when at least one object is selected
    /// </summary>
    [MenuItem("GameObject/Rename By Attached Image", true)]
    private static bool ValidateRename()
    {
        return Selection.activeGameObject != null;
    }
}