There are two FAA references. First is 14 CFR 61.73(c) as follows:

(c) A military pilot in the Armed Forces of a foreign contracting State to the Convention on International Civil Aviation. A person who is a military pilot in the Armed Forces of a foreign contracting State to the Convention on International Civil Aviation and is assigned to pilot duties in the U.S. Armed Forces, for purposes other than receiving flight training. may apply for a commercial pilot certificate and ratings under paragraph (a) of this section. Provided that person—

(1) Presents evidentiary documents described under paragraph (h)(4) of this section that show the person is a military pilot in the Armed Forces of a foreign contracting State to the Convention on International Civil Aviation, and is assigned to pilot duties in the U.S. Armed Forces, for purposes other than receiving flight training.

(2) Has passed the military competency aeronautical knowledge test on the appropriate parts of this chapter for commercial pilot privileges and limitations, air traffic and general operating rules, and accident reporting rules.

(3) Presents official U.S. military records that show compliance with one of the following requirements:

(i) Before the date of the application, passed an official U.S. military pilot and instrument proficiency check in a military aircraft of the kind of aircraft category. Class, or type, if class or type of aircraft is applicable, for the ratings: or

(ii) Before the date of the application. Logged 10 hours of pilot time as a military pilot in a U.S. military aircraft of the kind of category. Class and type of aircraft. if a class rating or type rating is applicable, for the aircraft rating.

The second one is FSIMS paragraph 5-619B as follows:

B. Military Pilots in the Armed Forces of a Foreign Contracting State to ICAO. A person who is a military pilot in the Armed Forces of a foreign contracting State to ICAO and is assigned to pilot duties in the U.S. Armed Forces, for purposes other than receiving flight training, may apply for a Commercial Pilot Certificate and ratings under § 61.73(a), provided that person complies with the following:

1) Presents the following evidentiary documents as described in § 61.73(h)(4):

a) An official U.S. Armed Forces record that shows the person is a military pilot in the U.S. Armed Forces (§ 61.73(h)(4)(i));

b) An official U.S. Armed Forces record that shows the person is assigned as a military pilot in the U.S. Armed Forces for purposes other than receiving flight training (§ 61.73(h)(4)(ii));

c) An official record that shows the person graduated from a military pilot training program/school from the Armed Forces from a foreign contracting State to the Convention on International Civil Aviation or from the U.S. Armed Forces, and received a qualification as a military pilot; and

d) An official U.S. Armed Forces record that shows that the person passed a U.S. Armed Forces pilot proficiency check and IPC in an aircraft as a military pilot in the U.S. Armed Forces. These checks are not specific to the ratings sought by the applicant.

2) Presents a report that shows successful passing of the appropriate knowledge test, if applicable. See subparagraph C below for further guidance.

3) Provides official U.S. military records showing compliance with either of the following regulatory requirements:

a) Section 61.73(c)(3)(i). Before the date of the application, passing an official U.S. military pilot proficiency check and IPC in a U.S. Armed Forces operated aircraft of the kind of aircraft category, class, or type, if class or type of aircraft is applicable, for the ratings; or

b) Section 61.73(c)(3)(ii). Before the date of the application, logging 10 hours of pilot time as a military pilot in a U.S. Armed Forces operated aircraft of the kind of category, class, and type of aircraft, if a class rating or type rating is applicable, for the aircraft rating. For the purposes of meeting § 61.73(c)(3), the FAA considers pilot time as a military pilot to be any military pilot time obtained during the successful completion of a manned U.S. military pilot training program resulting in the designation as a military pilot or manned military pilot time after training completion. For foreign pilots to log pilot time, the pilot must be assigned to pilot duties in the U.S. Armed Forces for purposes other than receiving flight training.