Marinate chicken by mixing soy sauce, rice apple vinegar, brown sugar, ginger, garlic, sesame oil, and white pepper in a bowl. Add chicken and refrigerate for at least 30 minutes.
Rinse rice under cold water until clear. Combine with water in a saucepan, bring to boil, then simmer covered for about 15 minutes. Let sit off heat for another 10 minutes.
In a saucepan over medium heat, combine soy sauce, rice apple vinegar, brown sugar, ginger, and garlic for the teriyaki sauce. Add cornstarch slurry to thicken; simmer until glossy.
Heat vegetable oil in a skillet over medium-high heat and cook marinated chicken until golden brown (about 5-7 minutes per side).
Pour teriyaki sauce over cooked chicken; simmer briefly to combine flavors.
Serve over rice and garnish with green onions, sesame seeds, shredded nori seaweed, and pickled ginger.