Is there any source that provides immigration-related issues for Amharic-speaking people in the U.S.?

Yes, there are several: Immigrant Info has information on immigration, education, social activities, and employment for Amharic speakers.

African Immigrant and Refugee Resource Center (AIRRC) provides immigration assistance, career counseling, job search/placement, prejob guidance, computer training and referrals for other services including legal and health services. Also offers volunteer opportunities. Volunteers assist in writing grants, researching funding sources, and acquiring necessary donations. You can call: 415-433-7300; 415-433-7301; 415-433-7372 or send email message info@airrc.org to get “free” help and speak in Amharic language.

Ethiopian Community Mutual Assistance Association
552 Massachusetts Avenue, Suite 209, Cambridge, Massachusetts 02139. Telephone: 617- 492-4232.

New website Chora (Ethiopian Center for Educational Information) will soon cover immigration, visas, Green Card, work permit, and similar issues soon.

Getting Your Green Card

You may apply for Green Card under the following categories: (a) marrying an American citizen; (b) engaging to marry your U.S. citizen fiancé; (c) asking your family relatives (your father, mother, husband, wife, brother, sister, children over 21) who are “citizens” of United States; (d) asking your close family members (your father, mother, husband, wife) of Albanian origin, who have Green Card; (e) receiving employment offer from an American employer; (f) winning Diversity Visa Lottery in your native country; (g) investing your money in United States; (h) qualifying as special immigrant (recognized religious workers, foreign medical graduates, etc.); (i) requesting humanitarian protection (asylum, refugee) from persecution or fearing based on your race, religion, nationality, political opinion, or membership in a particular social group in your native country.

ACR Language Translation Services, subsidiary of ACR Systems Inc., founded in 1982, provides certified translation for Green Card when you apply to U.S. Citizenship and Immigration Services (USCIS, formerly Immigration and Naturalization Service – INS) for its clients applying for Green Card (permanent resident visa) and U.S. citizenship.