Self hosting GraphHopper Directions API

The GraphHopper Directions API is a different product than the open source GraphHopper routing engine. The GraphHopper Directions API currently consists of

• the Routing API (based on the GraphHopper routing engine),
• the Matrix API,
• the Geocoding API and
• the Route Optimization API.

Currently they are no longer available for self-hosting. Note: I'm one of the authors.

GraphHopper is a routing service, not a geocoder.

According to this issue the Geocoder is separate from GraphHopper and only available in the Directions API for business.

If you are looking for a free OSM-based geocoding service then take a look at search engines in the OSM wiki.