Put in a strainer and lightly sprinkle with salt. Allow to sit 10 minutes and blot with paper towels as you see moisture. You are trying to get as much moisture out of the zucchini as possible.
While zucchini is roasting mix the ricotta, eggs, parmesan, and parsley in a bowl. Set aside.
There may still be some additional moisture in the lasagna when you first cut it. Allow a paper towel to soak it up after you cut the first piece and that should take care of it!