The telephone issue is a red herring here. Although most administrative law proceedings proceed under rules that allow in limited circumstances for telephonic appearances and even testimony, it would be very unsound for the interested party to appear that way.
It is most likely that the administrative proceeding can be continued until the interested party is physically capable of attending. If you are the interested party (Petitioner or Respondent), make a request for continuance as provided by the rules. Provide the necessary verification of your unavailability, and some basis for anticipating when you will be available.
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As Ms. McCall notes, it is not uncommon for administrative hearings to be delayed, usually "for good cause." Physical inability due to an injury might be good cause. The fact you are overseas may not be good cause by itself.
It would depend on the type of case, jurisdiction partly.
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I agree with Mr. Cave and Ms. McCall. I note further that "good cause" is the civil law standard in California and many other states. Administrative law will look to civil law to "gap fill" procedures not specified by the administrative regulatory scheme in question. Good luck.
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