looks doable but the door opens in so unless you rig on the outside of the door you'll run into it when it opens. you can leave the flex loose enough to flex with the door. or pending enough room put your whole exhaust rig on the inside of the door, hang it all together on the back of it. cords move easy so when you open the door the whole thing moves with the door out of the way. looks like you'd have to move what's behind but It's an awesome Idea. that cat door is perfect for the vent