I recently made a similar repair on my driveway. Rather than cold patch, I begged a pail of hot top from a company doing a driveway on my block. (If you showed up with a pail of Gatorade you might grease that request.)
I used a sledge hammer and wood block to pack and flatten it in place. It was nice and gooey and held well over a Minnesota winter so far.
If you're left to using cold patch, clean first, consider a bonding agent, and pack it well. I think most failures are due to it being left too loose or having a dirty surface under the patch. You can probably use a length of lumber and your car's weight for packing.
You might even consider warming the cold patch material. If you have a backyard fire ring you could lay some over coals in a metal pan.
