I would suggest letting the garment dry completely. Yes..the zipper will get wavy. Take a pressing cloth, (a thin cotton dish towel will work) and a steam iron. Place the cloth over the zipper and lightly straighten the zipper while you press it with...
Just take it to your neighborhood cleaners and IT will probably cost about $ 20.00 dollars to fix depending on how bad the zipper is.
Order the 2 for 54 cents and see what you get. Hopefully it is two sheets of wallets.