Consider Teachers Act of 2021 This bill revises the service obligation verification process for the Teacher Education Assistance for College and Higher Education (TEACH) grant program. For example, the bill provides a process for the Department of Education to reconsider and reverse the conversion of a TEACH grant to a loan. The bill also establishes certain program flexibilities with respect to the service obligations of teachers affected by the COVID-19 (i.e., coronavirus disease 2019) pandemic.