Mix the wasabi and vegetable oil in a bowl; set aside.
Skewer the cubes of chicken (about 3 pieces per portion) so the chicken covers about 4 inches of skewer. Lightly season all sides with salt.
Preheat a grill to medium-hot. Grill chicken breast skewers for about 3 minutes, turning once. Brush a thick layer of the wasabi mixture on top of the chicken. Grill for about 2 minutes more, turning once, and brushing on more wasabi. The chicken meat will turn white when ready. Serve immediately.
