Gather all ingredients.
Whisk egg, mayonnaise, green onions, lemon juice, tarragon, and pepper flakes together in a medium bowl.
Gently stir in crabmeat, being careful not to break up meat.
Gradually mix in cracker crumbs, adding until desired consistency is achieved.
Form crab mixture into 4 patties.
Heat butter in a skillet over medium heat. Cook patties in the skillet until golden brown, 5 to 6 minutes on each side.
Serve and enjoy!