Combine crackers, parmesan, and spices in shallow bowl or on a small plate that will allow you to dip the flounder fillets easily.
In another shallow bowl or small plate squeeze the lemon juice.
Sprinkle flounder with salt and pepper. Dip both sides in lemon juice and then in the cracker mixture.
Melt butter and heat olive oil in a large skillet over medium heat. Cook the fish in butter and oil mixture for 3-4 minutes per side until cooked through and fish flakes easily with a fork. (My flounder fillets tend to be very small and thin so they cook quickly. If you are working with larger/thicker fillets or a different kind of white fish this will take longer).
If cooking the fish in multiple batches based on the size of your skillet, when they are finished place them on a plate and cover them with foil while you finish cooking the rest.
Serve immediately.