Add item to admin panel – w/o plugin & theme

As long as it gets registered before the admin_menu hook happens, it doesn’t matter what file you put it in. The important part is what hook you call your function on. For simplicity sake you could put it in a themes functions.php. If you want things to look a bit cleaner then put it in a php file named admin-menu.php (or whatever explanatory name you want) and require_once that file from functions.php

add_action('admin_menu', 'your_function_name');
function your_function_name() {
    add_menu_page(...)// add your menu page here

}