Pool requires hand-eye coordination and acute knowledge of the game in order to excel. This is similar to many other sports.
There is tremendous hand-eye coordination required. Everything from stroking the cue, putting spin on the cue ball, and accurately aiming the target will determine if you’re successful or not.
Another aspect is the mental side of the game. This can be an endurance factor if you’re in a long match. Within a single game though, there is plenty of strategy that could be applied such as when to play defense or how best to get the cue ball in position for the next shot.
While pool may not require the physical exertion typically associated with sports, it is very much a high precision game. If you look at the sports included in the 2016 Summer Olympics, there are a number of these types of games that will be played: archery, shooting, and golf, to name a few.