By Plane

Alicante Airport - 40 minutes drive
Airport website
Means of transport

Valencia Airport - 75 minutes drive
Airport website
Means of transport

Note: There is also the service GetTranfer

Taxis

https://www.taxiservicealicante.com/ 

By bus

Alicante bus station
(search "Alcoi", with an "i")
https://movilidad.vectalia.es/interurbano-lineas-horarios/?no-cache=1543772500.1672

Valencia bus station
https://www.travicoi.com/linea-valencia-alcudia-de-carlet-massalaves-alberic-llosa-de-ranes-xativa-albaida-muro-de-alcoi-cocentaina-alcoi-ibi/#horarios

By Train

Alicante Train Sation
www.renfe.es

North Valencia Station
www.renfe.es