Would the Automatic chicken coop door fit on a wooden coop?

Yes, the Automatic door will fit on all wooden coops. You would need to cut a hole in the wooden panel where you would like to attach the door, and the door would automatically come with all of the instructions and parts to attach it to the wooden coop. 

Please see the full installation instructions linked below on how to do this - https://www.omlet.co.uk/files/public/manual/2024/07/830.3701A-instruction-manual-smart-automatic-chicken-coop-door-omlet.pdf.