Curry proved to be one of the most efficient offensive players in the NBA last season, with Hayward highlighting the guard's ability to turn dribbling into points.
"Stephen Curry has been really impressive to me," he wrote on his blog.
"Everybody knows he's a really great shooter. But the thing that separates him is his ability to handle the ball and shoot extremely well off the dribble.
"He'll do a crossover and you might not think that he's open. He might not even think he's open. Then he fires off a shot in the blink of an eye. It sure does go in a lot."
The USA warmed up for their World Cup of Basketball campaign by defeating Brazil 95-78 in an exhibition game at the United Center on Saturday night.