Generally speaking, yes, it is compatible and will be recognised by the console.

You should go through the settings to select the keyboard input.

But it has some limitations. First of all, it must be used on games that allow to be played with a keyboard. Also, the joystick does not simulate the mouse but the 4 directional keys of the keyboard.

This can lead to limitations in some games that support keyboard and mouse input, but do not allow the direction or camera to be set in the game settings.

In short, it may work perfectly on some games, partially on others or not be compatible at all.