Pat the trout dry and season with salt and pepper.
Dredge the fish:
Place the sweet potato starch into a large bowl. Dip each filet into starch and shake off the excess. Transfer to a plate.
Fry the trout:
Heat 1 tablespoon extra virgin olive oil in a large skillet over medium-high heat. Once hot, add the filets skin-side down. Use a metal flipper to press the trout into the skillet as it cooks. Fry the fish skin-side down for 3 to 4 minutes until the skin is very crisp and the fish releases easily.
Flip and cook the fish for 1 to 3 minutes until the filet reaches 145ºF. Transfer to a serving platter. Tent the platter with foil and wipe out the skillet.
Make the sauce:
Keep the skillet on medium-high heat. Add 1 tablespoon extra virgin olive oil and 2 tablespoons butter. Once the butter melts, add the shallot and cook for 2 to 3 minutes–stirring often–until it softens.
Add the sliced almonds and cook for 1 to 2 minutes. Pour in the sweet vermouth and bring to a boil. Reduce the heat to medium and simmer rapidly for 2 minutes until it reduces. Add a pinch of salt.
Add the parsley and lemon juice and reduce heat to low. Simmer for 1 to 2 minutes. Taste and add salt and pepper. Turn off the heat.
To serve:
Spoon the almond sauce over the trout filets. Garnish with more minced parsley and serve with lemon wedges on the side. Enjoy!