Let the French butter come to room temperature so it softens.
Preheat an air fryer to 350°F. Slice the top off the garlic head to expose the cloves, drizzle with olive oil, and season with salt and pepper. Wrap the garlic in foil and roast in the air fryer for 40 minutes, or until soft and caramelized.
While the garlic roasts, mince the chives, rosemary, thyme, and shallot. Zest the lemon and combine these ingredients with the softened butter in a bowl. Season with Himalayan salt and pepper. Squeeze the roasted garlic cloves into the butter mixture, and mix everything until well combined.
Roll the compound butter in plastic wrap and refrigerate for at least 20 minutes to allow it to set.
Season the ribeye steaks generously with salt and pepper. Heat a skillet over medium-high heat and add a drizzle of oil.
Once hot, sear the steaks on both sides until browned. Add a few sprigs of thyme and 3 tablespoons of the compound butter to the pan. Baste the steaks continuously with the melted butter and herbs until they reach your desired doneness.
Remove the steaks from the skillet and allow them to rest for 5 minutes before slicing.
While the steak rests, bring a large pot of salted water to a boil. Add the diced potatoes and cook until tender, about 15-20 minutes. Drain the potatoes and mash them with a potato masher. Stir in the heavy cream, 3 tablespoons of the compound butter, salt, and pepper.
Garnish the mashed potatoes with freshly chopped chives. Plate the steak and mashed potatoes, and add a pat of compound butter on top of each steak for extra richness.
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