Sections of the Spanish press have suggested Clos Gomez favours Barca, pointing out that the Catalans have never lost a game with the 44-year-old as referee.
He has also been accused of anti-Madrid bias on more than one occasion, most notably in the win over Sevilla back in 2010-11 when he drew the ire of then-coach Jose Mourinho.
Nevertheless, Zidane does not believe in conspiracy theories and is confident Clos Gomez will give his all to ensure a good and fair game.
"I do not believe in claims that any referee favours one club or another," Zidane said at a press conference.
"I just think it will be a great game, with the referee doing his best.
"I am not interested in such conspiracy theories. I am not worried. I only want to think about the match.
"The people want to see a great game on Saturday with a great referee who wants to do things well."
Madrid defend a six-point lead in La Liga over their rivals heading into this weekend's encounter at Camp Nou.