您可以尝试此代码。它将添加一个媒体按钮，该按钮将获取图像url。我已经对我删除或添加的部分进行了评论。

function my_category_module()
{
    // this action is deprecated
    //add_action(\'edit_category_form_fields\', \'add_image_cat\');

    // Add these actions for edit and add
    add_action(\'edited_category\', \'save_image\');
    add_action(\'create_category\', \'save_image\');
    add_action(\'category_edit_form_fields\', \'edit_image_cat\');
}
add_action(\'init\', \'my_category_module\');


function edit_image_cat($tag)
{
    $category_images = get_option(\'category_images\');
    $category_image = \'\';
    if (is_array($category_images) && array_key_exists($tag->term_id, $category_images)) {
        $category_image = $category_images[$tag->term_id];
    }
    ?>
    <tr>
        <th scope="row" valign="top"><label for="auteur_revue_image">Image</label></th>
        <td>
            <?php
                if ($category_image != "") {
                    ?>
                <img src="<?php echo $category_image; ?>" alt="" title="" />
            <?php
                }
                ?>
            <br />
            <!-- Add this html here -->
            <input type="text" class="regular-text" id="custom_category_image" name="category_image" value="<?php echo $category_image; ?>">
            <button class="set_category_image button">Set Image url</button>

            <!--
                <input type="text" name="category_image" id="category_image" value="<?php echo $category_image; ?>"/><br />
                <span>This field allows you to add a picture to illustrate the category. Upload the image from the media tab WordPress and paste its URL here.</span>
            -->
        </td>
    </tr>

<?php
}

function save_image($term_id)
{
    if (isset($_POST[\'category_image\'])) {
        //load existing category featured option
        $category_images = get_option(\'category_images\');
        //set featured post ID to proper category ID in options array
        $category_images[$term_id] =  $_POST[\'category_image\'];
        //save the option array
        update_option(\'category_images\', $category_images);
    }
}


// Enquey media elements
add_action(\'admin_enqueue_scripts\', function () {
    if (is_admin())
        wp_enqueue_media();
});

// Add JS using admin_footer or enque thorugh hooks
add_action(\'admin_footer\', \'my_footer_scripts\');
function my_footer_scripts()
{
    ?>
    <script>
        jQuery(document).ready(function() {
            if (jQuery(\'.set_category_image\').length > 0) {
                if (typeof wp !== \'undefined\' && wp.media && wp.media.editor) {
                    jQuery(\'.set_category_image\').on(\'click\', function(e) {
                        e.preventDefault();
                        var button = jQuery(this);
                        var url_input = jQuery("#custom_category_image");
                        wp.media.editor.send.attachment = function(props, attachment) {
                            url_input.val(attachment.url);
                        };
                        wp.media.editor.open(button);
                        return false;
                    });
                }
            }
        });
    </script>
<?php
}