The Directory theme is compatible to almost all the well-known WordPress plugin. To integrate a static map into the WordPress website, a plugin called the Simple Google Static Map is available.The Directory WordPress theme provides full support to this plugin that allows you to insert a static google map just with a shortcode.
Use this plugin to show a static location or address in the website. You can use the directory theme text widget to place the shortcode of the map to anywhere in this website. The advantage of this plugin is that the static map loads faster and do not require api to load on every page load.
To know more about Simple Google Static Map or to download it click here.