Fury returned to the ring for the first time since his thrilling draw with Wilder in December and he made light work of the previously unbeaten Schwarz in Las Vegas.
After the victory, Fury said he intended to fight once more before seeking a rematch with WBC title-holder Wilder.
Yet Wilder, who, like Fury, is still yet to taste defeat, was less than impressed by his display on Saturday given who he defeated.
"It was a cool performance; It wasn't much of an opponent," Wilder told The Athletic.