In a medium bowl, gently mix the salmon and cracker meal. Mix in the egg, bell pepper and dill. If the mixture is too wet, mix in a bit more cracker meal. Form the mixture into five 2-inch patties.
In a medium skillet, heat the oil over medium-high heat. Add the salmon cakes and cook until golden-brown, 3 to 4 minutes on each side. Drain on a paper-towel-lined plate. Let cool before serving to your pup.
For peoples portions only, arrange the salmon cakes on a plate with the mixed greens. In a small bowl, stir together the mayonnaise, lemon juice and chives; season with salt and pepper. Serve with the salmon cakes.