Great question — answering as the UphillTech team:
Adding oil isn't necessarily going to solve the sticking, although it might help some. You may have to use a lot in which case you'll have greasier chicken. The most sure-fire way I know of to keep the chicken from sticking is to slice a potato and layer the slices on the bottom of the pan. The potato may stick to the parchment but the chicken won't stick to it. Best of all you can eat the potato too.
Full answer by GdD: https://cooking.stackexchange.com/a/130538 (CC BY-SA 4.0).
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