Preheat the oven to 400*F.
In a small bowl, combine the soy sauce, sesame oil, brown sugar, ginger, and garlic.. Whisk with a fork to combine until smooth and the sugar has dissolved.
Trim the woody ends from the bok choy and roughly chop into bite-sized pieces about 1-2” long.
Spread the bok choy evenly on the pan.
Drizzle the bok choy with 2 tablespoons of sauce and use tongs to gently toss and lightly coat.
Arrange the salmon filets on top of the bok choy, leaving a few inches between each filet.
Spread the remaining sauce on top of the salmon filets.
Spread the rice evenly on the pan and drizzle with the olive oil. Use a spoon to gently toss the rice with olive oil.
Crack the eggs gently on top of the rice, taking care not to break the yolks if possible.
Place both pans in the oven.
Cook the eggs for 5-8 minutes until the rice is starting to crisp and the whites of the egg have set. Remove and set aside until the salmon is ready.
Cook the salmon pan for 10-12 minutes, until the bok choy has begun to brown and the salmon has cooked through and is flaky in the middle.
Divide the rice among 4 bowls and top with salmon and bok choy, divided evenly among the bowls. Top each bowl with baked egg and serve.