Heat the oil and butter in a non-stick pan, then add the salmon, seasoned with salt and pepper, to a pan skin side up and sear for 3-4 minutes over medium high heat until golden and crispy, then flip on the other side and cook for 2 minutes longer. It will not be cooked all the way through, remove to a separate plate.

To the same pan, add the chopped shallots and cook for 2-3 minutes over low heat, then add minced garlic and lemon zest and sauté for 30 seconds while stirring. Then deglaze the pan with chicken stock and let it simmer for 10 minutes. Stir in the creme fraiche or the heavy cream and sprinkle the dill all over, stir and let it bubble away for 5 minutes longer. Make sure your heat is set to low while making this cream sauce.

Bring the salmon back to the pan and let it simmer in the sauce for 5-7 minutes until the salmon is opaque and cooked all the way through and the sauce is desired consistency. Taste the sauce and add more salt if necessary.