Preheat the oven to 350 degrees F.
In a large bowl, combine the crab, crackers, mayonnaise, chives, mustard, lemon zest and egg. Mix together well.
Form palm-sized cakes (about 3" in diameter). Place cakes on a baking tray covered with parchment paper.
In a pan, heat olive oil over medium-high heat. Cook the crab cakes in batches, about 2 minutes on each side. Put cooked crab cakes back on the baking tray.
Bake in the oven for 10 minutes.