Combine lettuce, tomatoes, and onion in a large bowl.
Whisk together olive oil, vinegar, parsley, garlic, basil, red pepper flakes, and oregano in a medium bowl until well combined. Pour over salad and toss to coat evenly. Place in the refrigerator for flavors to meld, about 1 hour.
Spread submarine rolls open, then layer capicola, salami, and prosciutto evenly on each roll. Top with provolone cheese. Cover with salad and pickle slices. Close rolls to serve.
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