D.B.
If the plastic is strong and can withstand the ripping out of the zipper's stitching, and if you can take the whole thing apart enough to fit it in a sewing machine, you could consider reinstalling the zipper with a different starting point. It sounds very difficult though, even if the plastic wouldn't rip. I vote for Margie's velcro solution. I imagine you'd have to attach some tabs or a long strip of something so there is overlap and the pieces of velcro have a way to stick to each other. Take a photo (or 3 or 4 - one overall plus a few close-ups) and take them to a good fabric or craft store to see if they have a recommendation.