On the verge of being eliminated following a last-gasp penalty awarded to the Black Stars, La Celeste snatched a passage to the semi-finals following a 4-2 success in the eventual shootout.
Asamoah Gyan could have handed Ghana a historic qualification to the semi-finals but missed the spot kick to leave the game 1-1 after extra-time.
"On a team level I’d have to pick the win against Ghana in South Africa [in the quarter-finals in 2010]," the 38-year-old forward told Fifa.com.
"It was a game we almost lost but ended up winning on penalties, amazingly.
"And on a personal note I’d have to go for the end of that World Cup, when I won the Golden Ball as the player of the tournament and finished among the highest scorers."
Ghana striker Dominic Adiyiah saw his goal-bound header slapped off the line by Luis Suarez, resulting in the penalty and a red card for the now Barcelona man.
Television replays, however, showed that the ball crossed the line, and a goal, instead, should have been awarded to the four-time African champions.
Uruguay failed to overcome their next hurdle as they lost 3-2 to the Netherlands in the semi-finals.