Explore Evergreen Cooper in Evergreen, AL. Situated in the 36401 Zip code of Evergreen on Cooper St., residents have a quick connection to a mixture of nearby highlights. From amenities to floorplan options, the leasing staff is available to assist you in finding the perfect place. It's time to get moving on finding your next place. Contact or stop by the Evergreen Cooper leasing office to check the availability and schedule a tour today.