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School districts may create a policy allowing students to be released for religious study, or they may choose not to coordinate with released-time programs and require the students' legal guardians facilitate the process.
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22-12A-9. Medical appointments; illness; special situations; make-up work.

D. A student may, subject to the approval of the school principal, be absent from school to participate in religious instruction for not more than one class period per school day with the written consent of the student's parent at a time that is not in conflict with the academic program of the school. The public school shall provide time for the student to make up the school work missed during the absence. The school district or the public school shall not assume responsibility for the religious instruction of any student or permit religious instruction to be conducted on school property.

All school districts, regardless of whether they are required by law to allow released time, should implement good policy and be prepared for when a released time program may approach the district. The time to set the policy is before an active program is pressuring the district. Research polices the district can implement to protect teachers' and students' instruction time. Set polices that limit disruptions to students and the ability for proselytization to occur, impacting other students of faith or no faith. A more detailed write-up on school board policies can be read here.