Preheat oven to 450.

Line a baking pan with foil and spread olive oil over pan. Set aside.

Put the sausage rounds, potatoes, and onions into a large bowl. Drizzle with olive oil and season to taste with salt, pepper, paprika, and dried thyme. Toss together with hands until everything is evenly distributed. Pour into baking tray and spread out as much as possible.

Place into oven and roast for 45 minutes to an hour, stirring 15 minutes or so until the potatoes are golden brown and tender.

Turn off oven. Scatter cheese over top. Pop back into oven for a few minutes to melt cheese.