CrossFit running workouts demand CrossFit Trainning Shoes that can handle a formidable array of challenges. And sure, cross-training shoes usually work fine for your everyday WOD or running. But when your week-to-week workload is a hellacious hybrid of deadlifts and rope climbs, power cleans and box jumps, shuttle runs and handstand pushups, then you’re gonna want some kicks that will perform as tough as you do.