The Break-Up writer will tackle the script for New Line's long-gestating reboot, reports Deadline.
The film will see a return for the law and order comedy franchise, with creator Paul Maslansky attached to produce and Scott Zabielski directing.
The original Police Academy movie was released in 1984, spawning six sequels between then and the most recent 1994 outing.
David Diamond and David Weissman wrote the most recent draft of the screenplay.
Garelick performed extensive rewrites for The Hangover.
He is currently working on projects including Sick Day, The Insane Laws and The Golden Tux.