A chestnut coat is a way to describe the colour of a horse's fur. It is a deep, reddish-brown colour that looks a bit like the colour of a chestnut, which is a type of nut that grows on trees.
When people talk about a chestnut coat, they're usually referring to a horse that has this colour fur all over their body. Some horses might have a mix of different colours, like a chestnut coat on their body and a white patch on their face, for example.
Basically, a chestnut coat is just a way to describe how a horse looks. It's like saying someone has blonde hair or blue eyes. It's just a way to help people understand what the horse looks like!