Begin by finely chopping the salmon filets and add to a large mixing bowl. Add the rest of the burger ingredients and stir to combine.
Form mixture into patties. Set onto a plate.
Heat olive oil in a large pan over medium heat. Allow pan to become very hot. Place salmon burgers on pan. Use spatula to reform patties if they become loose. Cook 5 minutes. Flip and cook 5 minutes on other side.
While burgers cook, make the slaw by combining cabbage, red onion, mango, jicama and cilantro in a large bowl. Pour in lime juice and olive oil. Season with sea salt. Toss to coat. Refrigerate until serving.