You can use the following snippet, but you'd need to add some styling
add_filter('woocommerce_json_search_found_products', 'test_function_products_image');
function test_function_products_image($products){
foreach($products as $key => $name){
$product = wc_get_product($key);
$src = wp_get_attachment_image_src( $product->get_image_id(), 'thumbnail' )[0];
if($src){
$image = '<img class="list-image" src="'. $src . '">';
$products[$key] = $image . $products[$key];
}
}
return $products;
}