Combine salt and pepper in a small pinch bowl. Mix to incorporate.
Rinse the salmon and pat dry with paper towel.
Season the salmon all over with the salt and pepper mix.
In a 4 quart pan, over medium heat, add the wine, chicken broth, shallots, garlic and thyme. Give it a quick stir.
Bring to a boil. Reduce heat to medium low/low. Cover pan with thigh lid. Simmer 5 minutes.
Add the salmon in a single layer. Use a small ladle or spoon to pour some of the broth all over the fish.
Cover with the tight lid. Cook for 8 to 10 minutes, depending on the thickness of the salmon.
Turn off the stove. Spoon some sauce over the salmon.
Transfer the salmon portions to a serving platter and pour some of the wine sauce over it. Garnish with fresh chopped herbs, if desired.
Plate and serve with your favorite side dish. Enjoy!