Heat oil in a large skillet at medium-high. Combine 1/4 cup mayonnaise,chives, salt, black pepper and egg in a large bowl, stirring well. Add salmon to mayonnaise mixture; toss to combine.
Process crackers in a food processor until finely ground. Add 3 tablespoons cracker meal to salmon mixture; stir to combine. Shape salmon into 4 patties. Place remaining cracker meal in a shallow dish. Dredge patties in cracker meal. Add patties to pan; cook 2 1/2 minutes on each side or until golden.
Combine 1/2 cup mayonnaise and remaining ingredients, stirring well. Serve with croquettes. Dress salad with Marie’s Blue Cheese