The BIA and AAO can be involved in the naturalization appeals process.
Q. What happens when I file an appeal?
A. When an applicant or petitioner appeals a decision to the AAO, the officer who made the original decision will first review the record. A review of the record will determine whether the evidence or argument submitted in the appeal warrants reopening or reconsidering the decision. If the adjudicating officer determines that reopening or reconsidering the decision is not warranted, the officer will forward the case for further review to the AAO or the BIA
http://www.uscis.gov/portal/site/uscis/menuitem.5af9bb95919f35e66f614176543f6d1a/?vgnextoid=343df95c93228210VgnVCM100000082ca60aRCRD&vgnextchannel=db029c7755cb9010VgnVCM10000045f3d6a1RCRD
The same goes with motions to reconsider via I-290B.
Bob,
That page is strictly talking about I-290B Appeals and Motions or EOIR-29 Appeals. The N-400 is "appealed" via the form N-336 which does not involve the BIA or AAO. N-400's are outside their areas of jurisdiction.
HEARINGS ON DENIALS OF APPLICATIONS FOR NATURALIZATION
INA Sec. 336. [8 U.S.C. 1447]
(a) If, after an examination under section 335 , an application for naturalization is denied, the applicant may request a hearing before an immigration officer.
(b) If there is a failure to make a determination under section 335 before the end of the 120-day period after the date on which the examination is conducted under such section, the applicant may apply to the United States district court for the district in which the applicant resides for a hearing on the matter. Such court has jurisdiction over the matter and may either determine the matter or remand the matter, with appropriate instructions, to the Service to determine the matter.
(c) The Attorney General shall have the right to appear before any immigration officer in any naturalization proceedings for the purpose of cross-examining the applicant and the witnesses produced in support of the application concerning any matter touching or in any way affecting the applicant's right to admission to citizenship, and shall have the right to call witnesses, including the applicant, produce evidence, and be heard in opposition to, or in favor of, the granting of any application in naturaliza tion proceedings.
(d) The immigration officer shall, if the applicant requests it at the time of filing the request for the hearing, issue a subpoena for the witnesses named by such applicant to appear upon the day set for the hearing, but in case such witnesses cannot be produced upon the hearing other witnesses may be summoned upon notice to the Attorney General, in such manner and at such time as the Attorney General may by regulation prescribe. Such subpoenas may be enforced in the same manner as subpoenas under section 335(b) may be enforced.
(e) It shall be lawful at the time and as a part of the administration by a court of the oath of allegiance under section 337(a) for the court, in its discretion, upon the bona fide prayer of the applicant included in an appropriate petition to the court, to make a decree changing the name of said person, and the certificate of naturalization shall be issued in accordance therewith.
NATURALIZATION AUTHORITY
INA Sec. 310. [8 U.S.C. 1421]
*****
(c) Judicial Review.-A person whose application for naturalization under this title is denied, after a hearing before an immigration officer under section 336(a) , may seek review of such denial before the United States district court for the district in which such person resides in accordance with chapter 7 of title 5, United States Code. Such review shall be de novo, and the court shall make its own findings of fact and conclusions of law and shall, at the request of the petitioner, conduct a hearing de novo on the application.
(d) Sole Procedure.-A person may only be naturalized as a citizen of the United States in the manner and under the conditions prescribed in
this title and not otherwise.
NOTE: "This Title" is Title III of the INA. The I-290B is filed under authorities found in Title I [which also covers Title II benefits] and is implemented via 8 CFR 103.3 (appeals). 103.4 (certifications), and 103.5 (motions). A few items in Title III do afford appeals and motions via the I-290B to the AAO (N-470, N-565, and N-600) but the N-400 is in a league of its own and has the N-336 under a distinct appeals path. An I-290B could be filed BUT it would only be for a Motion to the deciding officer and it should be rejected and the applicant instructed to file an N-336 instead.