Bale has been in poor form of late, which has seen him score two goals in his last 18 matches. The Madrid fans have not taken kindly to this, with Bale, who was signed for a world-record fee of 85 million pounds in 2013, often booed by his home support.
Adding to Los Blancos woe is that their chances of lifting the La Liga trophy suffered a major setback after they drew 2-2 with Valencia on Saturday, which now puts them four points behind leaders Barcelona, who beat Real Sociedad 2-0.
"Real have to work with Gareth and pass the ball to him more," Barnett told The Telegraph. "Give him more of the ball and let him show everybody what he's good at.
"He's going to be the best player at Real Madrid when his teammates work with him and help him. Hopefully Real will come to terms with this."
Barnett also admitted that Bale is frustrated with his lack of success as of late, but added that the 25-year-old is determined to turn his fortunes around.
"Most people would have been broken by this but he is determined," he said. "He could have screamed and shouted or knocked on the manager's office door but he doesn't want to upset anyone.
"I spoke to him on Thursday and while he's obviously p—– off things aren't going well he is desperate to get out there again."
Barnett was quick to dismiss rumours that Bale was plotting to return to the Premier League, with Manchester United reportedly interested in signing the former Tottenham player.
"Every top club in the world would want to sign him but he will be at Real Madrid next season," Barnett insisted. "There's no way he is going anywhere in the summer.
"When we said he always wanted to play for Real, it was 100 percent true and he's determined to be a success there."