American Indian Teacher Loan Forgiveness Act of 2014 - Amends title IV (Student Assistance) of the Higher Education Act of 1965 to provide up to $17,500 of loan forgiveness to borrowers under the Federal Family Education Loan program or the William D. Ford Federal Direct Loan program who: (1) are a member of an Indian tribe, and (2) have been employed as a full-time teacher for five consecutive complete school years in an Indian school or in a local educational agency that serves at least 10 Indian students or whose schools have an enrollment of students at least 25% of which are Indians.