I use an immersion blender, you can also make this in a blender or food processor, being able to drizzle the oil in as it mixes creates a really creamy sauce and it thickens as it blends add oil until it's the thickness you like. The egg oil and acid combined to create a deliciously creamy sauce.
I cut my chicken, so it wasn't so thick.
Coat chicken evenly with seasonings
Heat a skillet on the stove (I use cast iron) add the oil, place the chicken in the pan.
After a minute or two (when the bottom of the chicken is slightly crisp and golden) turn the chicken over.
Place a cover over the chicken and cook for 2 minutes.
Add 2 tablespoons water to the pan and cover, turn the heat to medium.
You can turn the chicken again if needed.
The chicken is done when it reaches 165°.
Remove the pan from the stove and allow the chicken to rest for 5 minutes.
Slice the chicken and pour the sauce over the chicken and serve.