Preheat the oven to 425 F.
While the oven is preheating, place the chicken on a paper towel lined plate or a cutting board.
Dry the chicken with paper towels. This step is very important - if the chicken is not dry, it won’t brown. Season generously with salt and freshly ground black pepper on both sides. Melt the butter and olive oil in an ovenproof pan over medium heat for a few minutes.
Cut the garlic bulb width wise. You want to take the top off to expose the garlic cloves without breaking the garlic bulb. To be safe, start from 1/4 inch from the top.
Once the butter and oil are hot (it should take about 5 minutes, depending on your stove), carefully add the chicken breasts.
Sear for 4 minutes and flip over. It may feel stuck, but you can “wiggle” it gently using tongues or two spatulas, but don’t move it from side to side while it cooks. Sear the other side for 4 minutes as well.
Add the garlic cut side down, if using.
Put the pan in the oven and bake for 20 minutes. Internal temperature should be 165 F minimum.
Once the chicken is cooked, let sit for at least 5 minutes. It’s a good rule for any meat - juices “run wild” in meats while it’s cooked, so letting it sit for a few minutes allows the juices to soak back in which is responsible for most of the flavor.
Squeeze out the garlic or pick it out with fork and spread over chicken or leave on the side.
Serve and enjoy!