Benzema has managed just two goals in 13 matches so far this season, something which has been a key factor in Real's disappointing start to the campaign.
That start has seen arch-rivals Barcelona build up an 11-point lead in the league, whilst Real have also fallen behind Tottenham in the race to win Group H in the Champions League.
The holders go into the game against APOEL on Tuesday knowing that a win will all but seal their place in the knockout stages and speaking ahead of the game, Zidane told the press that Benzema needs to improve hishaul of goals and assists, something that the player himself is aware of.
'He [Benzema] is the first one who knows he can give more, because of the confidence issue, especially his confidence in front of goal,' Zidane explained.
'Strikers maybe need goals for confidence, but he's playing well, the team is playing well.
'When one goes in more can follow. Let's hope tomorrow [Tuesday] is the day to end the streak.'
Meanwhile, Zidane also dismissed claims that he has not given young talent enough of a chance, saying that they need time to develop, but that they all have futures at the club.
'That [those players' happiness] is a question for the players,' Zidane said.
'As far as I'm concerned, I sit down and chat with players. They're here, they're young.
'They have to work hard, but look at the rise of Marco Asensio, for example. He played less last season, but more this season.
'Ceballos is in a similar position. There are maybe a few players who play less, but it's a learning curve.
'It's normal that they play less than other squad players. But Dani and the other young players all have big futures here.'