The Georgian, 31, signed for a final day card that included 11 pars and six birdies, as well as one bogey, to help him reach a total of 13 under par, along with Hickok.
The top three finishers traded seven consecutive pars in overtime before English won it with a birdie at the eighth sudden-death hole.
English was also awarded 58 Official World Golf Rankings points, and he moved up to No. 12 is his highest career position.
Hickok was the runner-up and took home an $806,600 check along with 300 FedExCup Points and 34.8 OWGR Points.