Credit: GettyImages
The MAVNI program is temporarily on hold, but you can go to the US Army website to fill out the form to request the information about MAVNI program. The information you provide will be screened and your eligibility for the program will be tentatively determined and sent to a Recruiter.
The Defense Department has authorized the U.S. Army to implement, under the Military Accessions Vital to the National Interest (MAVNI) program, a test that permits the enlistment of certain legal aliens into the U.S. Army. To be eligible for consideration, you must be legally present in the United States, and able to provide a passport, I-94 card, I-797 form, your employment authorization document or other government issued documents proving your legal presence in the United States. For more information please visit the MAVNI FAQ.
Furthermore, you can fill out the information request form in person at your nearest recruiter location.
Related read:
Military Accessions Vital to the National Interest (MAVNI) naturalization program
JCS U.S. Immigration & Visa Law Office 
Great site. Lots of useful information here. I’m sending it to a few friends ans also sharing in delicious. And of course, thanks for your sweat!