Thanks for your interest in Sefer Iyunei Deah/Procedure for semicah by R. Z.N. Goldberg, shlita.
Below is a standard response I prepared based on many people's questions. Not everything below may pertain to you, but hopefully your questions will be among those addressed. Please feel free to contact me if you are interested in further information.
I know that people who live outside of Israel do seek and receive semicha from the Rav.
He generally requires at least one letter of recommendation from an established rabbi such as a Kehilla Rav, Rosh Yeshiva or Rosh Kollel saying, for example, that he knows the candidate, for how long and in what context while also attesting to the candidate's experience and seriousness in learning as well as his intentions for requesting the semicha and his plans for the future.
Since getting semicha through him involves both a written and oral bachina, people may fax, mail or otherwise deliver the written bachina ahead of a planned visit to Jerusalem in order to allow time for the Rav to review it before meeting him for the oral bachina.
The nature of the oral bachina depends on a person's stated purpose for wanting the semicha. For one who intends to go into chinuch or kiruv, the oral generally covers only some of the main points covered in the written. For those who are testing toward hora'ah and poskening, the oral is significantly more thorough and rigorous.
As far as I know, one must test on an entire topic at once - like all of Isur v'Heter - melicha, basar b'chalav and ta'aroves - together.
One planning a longer visit might do both (submit the written and make an appointment for the oral) while here. Perhaps there are other ways of doing it as well.
It is possible to contact him directly and speak to him in either Yiddish or Hebrew in order to finalize the procedure for your specific case.
For the most up-to-date details regarding R. Goldberg's bachinos or other questions, you can call his home at 02 538 3162. His address is Elkana 12.