Add the parsley, nuts, vegan parmesan cheese, garlic, lemon juice coarse salt and two tablespoons of olive oil into a food processor.
Blend the ingredients together in 5 second intervals until blended together, about 30 seconds. Scrape down the bowl with a spatula.
Add the rest of the olive oil and and pepper. Blend everything together until smooth, but there is a slight texture left (if you prefer - else blend until completely smooth), about 1 minute.
Scrape down the bowl again ensuring everything is being incorporated.
You may want to add more cheese, olive oil or seasoning to appeal to your palette.
Spoon the pesto into a bowl and serve on crackers, bread, sandwiches, pizza, or other varieties.
Notes
Refrigerator: Store this homemade parsley pesto in an airtight container in the fridge for up to 5 days. Add a thin layer of olive oil on top to keep it fresh.
Freezer: Freeze in small portions (like an ice cube tray) for up to 2 months.