Veterans Education Flexibility Act - Provides that if an individual eligible for educational assistance under the all-volunteer force educational assistance program of the Department of Veterans Affairs (VA) is enrolled in an educational institution and the period of such individual's entitlement (ten years after discharge or release from active duty) would expire during a quarter or semester of enrollment, that period shall be extended to the end of that quarter or semester. Allows such an extension until the earlier of the end of the course or 12 weeks, in the case of an educational institution not regularly operated on a quarter or semester basis.

Repeals the delimiting period for the use of assistance under the post-Vietnam era veterans' educational assistance program (generally 10 years after the veteran's last discharge or release from active duty).

Applies the assistance extension provided under the all-volunteer force educational assistance program to the post-9/11 veterans' educational assistance program.