Pat the swordfish dry and season with salt and pepper.
Sear Swordfish:
Heat olive oil in a skillet over medium-high until shimmering and very hot. Add the swordfish and cook for 3–4 minutes. Flip and cook for an additional 3 minutes. The swordfish should be at about 125ºF at this point.
Prepare Lemon-Butter Sauce:
Add the butter to the skillet with the swordfish and cook until melted and frothy. Add the chicken stock, lemon juice, herbs, and minced garlic. Reduce heat to medium and cook until reduced slightly, about 5 minutes.
Once the fish reaches 130ºF, remove the filets from the skillet, transfer them to a plate, and rest for 5 minutes.
Taste the sauce and season once more to your preferences. Once the sauce is thick enough that it lightly coats the back of a spoon, turn off the heat.
To Serve:
Spoon the sauce over the swordfish. Garnish with two slices of lemon. Enjoy!