DWQV,
You have at least suggested that the job is with a foreign company but that it was somehow headquartered in the U.S.
Might the employer be a wholly-owned or majority-owned subsidiary of a U.S. company/corporation?
First 2 parts of the holding in Matter of Chawathe:
(1) For purposes of establishing the requisite continuous residence in naturalization
proceedings pursuant to section 316(b) of the Immigration and Nationality Act, 8 U.S.C.
§ 1427(b) (2006), a publicly held corporation may be deemed an “American firm
or corporation” if the applicant establishes that the corporation is both incorporated
in the United States and trades its stock exclusively on U.S. stock exchange markets.
(2) When an applicant’s employer is a publicly held corporation that is incorporated in the United States and trades its stock exclusively on U.S. stock markets, the applicant need not demonstrate the nationality of the corporation by establishing the nationality of those persons who own more than 51% of the stock of that firm. Matter of Warrach, 17 I&N Dec. 285, 286-87 (Reg. Comm’r 1979), clarified.
See:
http://www.justice.gov/eoir/vll/intdec/vol25/3700.pdf
The N-470 could be applicable under certain circumstances. You would have to have a period of one continuous year of physical presence as an LPR in the U.S. and your employer would have to qualify.
INA 316(b)
.........employed by an
American firm or corporation engaged in whole or in part in the development of foreign trade and commerce of the United States, or a
subsidiary thereof more than 50 per centum of whose stock is owned by an American firm or corporation, or..........., no period of absence from the United States shall break the continuity of residence if-
(1) prior to the beginning of such period of employment (whether such period begins before or after his departure from the United States), but prior to the expiration of one year of continuous absence from the United States, the person has established to the satisfaction of the Attorney General that his absence from the United States for such period is to be on behalf of such Government, or for the purpose of carrying on scientific research on behalf of such institution, or to be engaged in the dev elopment of such foreign trade and commerce or whose residence abroad is necessary to the protection of the property rights in such countries of such firm or corporation, or to be employed by a public international organization of which the United States is a member by treaty or statute and by which the alien was not employed until after being lawfully admitted for permanent residence; and
(2) such person proves to the satisfaction of the Attorney General that his absence from the United States for such period has been for such purpose.
The spouse and dependent unmarried sons and daughters who are members of the household of a person who qualifies for the benefits of this subsection shall also be entitled to such benefits during the period for which they were residing abroad as dependent members of the household of the person.
(c) The granting of the benefits of subsection (b) of this section shall not relieve the applicant from the requirement of physical presence ................