If you’re serious about improving your chess game, you’ll want to memorize chess coordinates. If you’re following any serious tutorial or book with a game replay, they’ll be using Chess notation and you’ll find it hard to follow unless you understand the coordinates and can follow them quickly.
Most non-ornate chess boards will have the numbers and letters on them directly, like so.
It’s handy having the coordinates next to the board, but you won’t always have them, and you’re much faster if you can simply look at a square and immediately know its coordinates. Also, you’ll need to be able to locate a square immediately based on a given set of coordinates. Knowing the chess board forwards and backwards in this fashion is something that every serious chess player can do it their sleep. It’s the first essential step in playing an entire game in your head.