While the chicken is cooking chop up the garlic cloves or just go with that pre chopped version that you can find in the produce section and chop up the parsley leaves. Have the fresh lemon ready.
Reduce the heat to medium. Add the butter, let it melt and put the garlic in the skillet. Give the garlic just a minute or just until it starts to become fragrant. Put the chicken breasts and the drippings back in, squeeze the lemon juice in and toss in the rind. Turn them and spoon the butter and garlic on them as they warm back up.
When the chicken is warm, almost hot to the touch put in the parsley and do a little more of the turning and spooning.