Remoulade sauce: In a bowl mix together all of the ingredients for the remoulade sauce and refrigerate until you are ready to serve.
For the crab cakes: In a bowl, mix together the mayo, mustard, worchestershire sauce, old bay, lump crab, panko breadcrumbs, and parsley. Form into equal patties.
Heat the oil in a nonstick pan over medium heat. Add the crab cakes and cook, in batches, until golden and crispy, 3 to 5 minutes per side.
Serve with lemon wedges and remoulade on the side.