Combine the maple syrup, soy sauce, mirin, sake, garlic, and ginger in a bowl. Add the salmon and let rest in the refrigerator for at least 2 hours, up to 8 hours.
Preheat your oven to 400°F. Prepare a baking tray with aluminum foil and nonstick spray. Place the salmon on a baking sheet and bake for 16 to 18 minutes.
Place the green beans and garlic in a bowl and toss to coat with olive oil and maple syrup. Prepare a baking tray with aluminum foil and parchment paper. Place the green beans on the baking sheet. Season with salt and pepper. This can be baked at the same time as the salmon for 16 to 18 minutes, or until tender.