Putting chicken coop roof is not much different from that of a barn or house. The good news is that if you are going to have a concept or stitches, have them at the top is much better than having them on the bottom. The bad news is that the planning of the roof requires some time with triangles, and put on the roof will require job ladder, and go better with at least two people.
A chicken coop roof is called gable. You can opt for large structures, or just because you like the traditional “home” look. If you choose this version, you will put the rolls on a flat top wall frame. A roof with a slope is much easier than two. You may even be able to cut steps create a roll if you build a wall frame so that one wall is higher than the other.
You can choose to have a roof slope forward toward the front of the cage, or towards the back. If your enclosure is tilted against your home so water rolls toward the front (and away from your house foundation) is a good idea. Otherwise, if you tilt chicken coop roof toward the back of rain and snow will run off in that direction, making the front entry clearer.