Place the olive oil, brown sugar, soy sauce, lemon zest, Dijon mustard, parsley, thyme, salt and pepper in a bowl. Whisk to combine.
Reserve 1 tablespoon of the marinade in the refrigerator for later use. Add the garlic to the bowl.
Add the salmon to the bowl of marinade. Spoon the marinade over the salmon and cover the bowl.
Marinate in the refrigerator for at least 1 hour, or up to 8 hours.
Remove the salmon from the marinade and scrape off any excess bits of herbs or garlic (otherwise they could burn on the grill!).
Preheat an outdoor grill or indoor grill pan over medium high heat. If you're using an outdoor grill, be sure to thoroughly coat your grill grates with vegetable oil.
Add the salmon fillets and cook for 5-6 minutes on each side or until salmon is opaque throughout.
Brush the reserved marinade over the salmon fillets, then serve.