How do I repair laminate damage on a kitchen cabinet?
One idea to consider is to re-cover the whole side with an adhesive contact paper. With careful selection you may find this to look better than the way it does now. If you do elect to go this route I would recommend a step to even out the surface where the existing laminate was torn away. You may be able to sand the edges of the ripped area so it is a smooth transition as opposed to an abrupt transition. Another approach may be to try filling the torn out areas with spackle or dry wall compound using a six inch wide blade. This leveling is needed because any surface irregularity will show through contact paper.

Contact paper is available in wood print simulated coloring such as this example from Amazon:



Amazon Link:

http://www.amazon.com/Ultra-Honey-Adhesive-Contact-Paper/dp/B000KKIR0A