In a large bowl, combine the black-eyed peas, corn, bell peppers, onion, jalapeño, chopped parsley, and Cajun seasoning.
In a small bowl, combine the olive oil, garlic paste, and vinegar and whisk together until well combined. Pour the olive oil mixture over the black-eyed pea mixture and toss well to fully combine. Give the black-eyed pea salad a taste and season with salt/pepper (or more Cajun seasoning) to personal preference.
Transfer the black-eyed pea salad to an airtight container and store it in the fridge for at least 30 minutes for the flavors to meld. Always toss the salad before serving as natural separation may occur. Serve as-is, alongside your favorite main entrees, or enjoy as a snack with tortilla chips. Enjoy!