Put the salmon in a mixing bowl and break it up well. Add the finely crushed chips, ricotta cheese, Old Bay seasoning, and half the lemon zest. Mix very well. Form into eight equal-sized patties.
Place olive oil and butter in a large non-stick skillet and heat over medium-high heat. Once the butter has melted and starts to sizzle, add four of the patties and cook undisturbed for 2 – 3 minutes or until the bottoms are nicely browned. Carefully flip over and cook for another 2 – 3 minutes. Repeat with the remaining patties.
Combine the mayonnaise with the remaining lemon zest, chives, lemon juice, salt, and pepper. Serve with the salmon patties.