Start by cutting your salmon into four equal pieces. Sprinkle each piece with garlic powder and season generously with salt and pepper. Dredge each piece in flour on all sides.
In a skillet over medium-high heat, add olive oil and butter until melted and hot. Carefully place the seasoned salmon in the pan. Cook for about 3–4 minutes on each side until nicely browned; remember not to fully cook it yet.
In the same skillet, add chicken broth (or dry white grape juice), lemon juice, and Dijon mustard. Stir everything together until well combined and let it bubble away for about 1–2 minutes.
Next, pour in your heavy cream along with freshly chopped dill. Stir everything together until smooth and combined.
Return the salmon to your skillet, allowing it to simmer gently in that luscious sauce for another five minutes or until cooked through.