Usually with that type of reel you see the gear sprocket on the spindle and not the spool. You would just have to turn the gear wheel over and your done.
On this one, if you can turn the grear over, than your only half way there. The chrome guide on the bottom of the reel needs to be able to turn around as well. If you can do that... try it. If not, then it's one of those reels you have to buy as a right or left handed reel.