To pull together the information in comments.

@Charlie provided a list of other Spanish words with vowel-h-vowel and confirmed that "Con ojo de baharí quieres aprehender el uso de la h y anihilar la ignorancia, aquí va la respuesta cual cohete para que vayas a la almohada sabiendo algo más, la palabra alcohol se pronuncia "alcool". Al menos en el español de España, la h es muda en esa y en todas las palabras de este comentario"

In response to @wimi's query " en tu zona se dice "/alcool/" con las dos "o"? Yo siempre he dicho y oído "/alcol/", pronunciando solo una "o"" he confirmed that the two o sounds were usually elided into one.

@MauricioConteras stated that in Venezuela "we pronounce te word Alcohol as Alcól (note the accent). No double o, just emphasis on one single o."

And for completeness PiKindOfGuy in an answer agreed that "In Chilean Spanish the 'h' is not pronounced and as far as pronunciation is concerned, there's only one 'o'."