This works best for boned, skin- on thighs, and is based on a Nigel Slater recipe.
Heat some butter and olive oil in a griddle (I have a cast iron ridged second hand Le Creuset I got on eBay for next to nothing which is, IMHO, perfect for this).
Season your chicken well.
Fry chicken skin side down until golden.
Throw some torn up tarragon on the chicken, flip.
Continue cooking until chicken is cooked through, brownish and a little crunchy at the edges.
Put the chicken on warmed plates.
De-glaze the pan with some liquid (I like Pernod- you could go for white wine, vermouth, sherry, stock or water- depending on personal taste and what is in your pantry).
Add some more shredded Tarragon, more seasoning and bit of something creamy (creme fraiche, cream, yoghurt, mascarpone, whatever).
Stir until you have a sauce.
Pour sauce over chicken.
Serve with french green beans and boiled potatoes or a nice bread.
Less than 20 minutes, and really, really good.
Also works well with rosemary or thyme instead of tarragon but if I’m using those I won’t go for Pernod, obviously.