Gather the ingredients. Preheat the oven to 400 degrees F (200 degrees C). Line a baking sheet with aluminum foil, then spray with nonstick cooking spray.
Coat a small saucepan with nonstick cooking spray; place over medium heat. Cook and stir garlic in the hot pan until soft, about 3 minutes. Stir in balsamic vinegar, mustard, honey, white wine, salt, and pepper. Simmer, uncovered, until slightly thickened, about 3 minutes.
Arrange salmon fillets on the prepared baking sheet. Brush fillets with balsamic glaze; sprinkle with oregano.
Bake in the preheated oven until flesh flakes easily with a fork, 10 to 14 minutes. Brush fillets with remaining glaze; season with salt and pepper. Use a spatula to transfer fillets to a serving platter, leaving the skin behind on the foil.
