Bernardeschi, speaking to reporters in a virtual availability after the game, praised his teammates saying they had left it all out on the field.
But the former Juventus player, who wears his heart on his sleeve, then seemed to take square aim at Bradley's tactics.
"We don't play," the Italian star, the fourth-highest-paid player in the league at US$6.295 million this season, said in English. "We play long pass. We don't have an idea to play."
"I think this city, the fans, everybody, don't deserve this," he added. "And I think maybe we need to change something. We need a little bit more tactics. We need an idea how we play, because this is the real problem for me. It's impossible to play like this when we play without idea."
Asked whether the problem was in executing the game plan or the game plan itself, Bernardeschi replied: "We don't have a construction in the game. When the player has the ball, we don't know how to pass the ball. This is the real problem. Because we don't train that.
"We lose every game. We tie, we lose, we tie, we lose. Sometimes we win. But I can't believe this, sincerely. This is no good for the young players. They need to get better and grow up with an idea of football … We need the idea of football."