Whisk together first 4 ingredients in a small bowl until well combined. Set aside.
Heat canola oil and sesame oil in a large nonstick skillet over medium heat. Add ginger and garlic; cook, stirring constantly, 1 minute or until fragrant. Stir in soy sauce mixture and bring to a boil. Add fish fillets; cook, covered, 4 minutes. Carefully turn fillets over using a spatula, cover, and cook 3 to 5 additional minutes. Transfer fillets to serving plates, and drizzle each evenly with the pan sauce. Serve immediately.