Cut zucchini into zoodles using a spiralizer. Place the spiralized zucchini in a colander and toss with the salt until coated. Place colander in a shallow bowl for 20 - 30 minutes while zoodles release their moisture, then pat dry with paper towels.
Meanwhile Prepare Basil Pesto: Mash the garlic and salt together in a small dish. Place in the bowl of your food processor fitted with the large chopping blade. Add the basil, parsley, and pepper. Secure the cover. Process until the mixture has a paste-like consistency, scraping the sides of the bowl with a spatula if necessary. Cover. Now with the motor running, add the nuts and parmesan through the small feed tube. Finally while continuing to run the motor, add the oil in a slow steady stream, thickening the mixture.
Cook Zoodles: When the zoodles are ready to cook, pat them with paper towels. Then heat 2 tablespoons of olive oil in a skillet. Add 3 cloves of chopped garlic and cook until fragrant, about 2 minutes. Add zoodles (zucchini), and cook about 2 minutes. Stir and cook for one more minute. Then let the zoodles sit for a few minutes to allow any excess water to be released, drain. Transfer to a bowl.
Top drained zoodles with basil pesto sauce and gently toss. Serve immediately.
Notes
Pesto sauce may be stored in refrigerator for up to 3 days.
If you're concerned about nuts manufactured on shared equipment with gluten containing products, Nuts.com (affiliate link) prominently labels which products of theirs are certified gluten-free.