Preheat oven to 400º.
Heat 2 tbsp of olive oil in pan over med-high heat.
Season chicken breast halves with salt and pepper on both sides.
Add chicken to pan and brown both sides.
Once evenly browned (not cooked through!) transfer to cookie sheet lined with parchment paper.
Spread mayo liberally on top side of breast halves.
Crush crackers in sleeve and sprinkle over chicken with mayo.
Press crackers into mayo to create a crust.
Bake for 10 minutes (for smaller breasts) or 15-20 minutes (for larger breasts) until chicken reaches an internal temperature of 165º F.