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"I will be respectful. Besides, I don't know what's going on inside, that's why I don't want to get involved," the Madrid coach told a news conference.
"I think each club has their own issues and difficulties. I think Barcelona, in terms of the team and the squad, is a club who will be fighting for everything.
"I don't have any doubt."
Madrid have also seen some changes to their squad, most notably the departures of Gareth Bale (on loan to Tottenham) and James Rodriguez (Everton), and question marks are being asked about their player recruitment afterthe 0-0 stalemate at Real Sociedad to kick off their La Liga title defence in underwhelming fashion.
However, Zidanetold reporters ahead of Saturday's match against Real Betis that he will not be pestering Florentino Perez to get the chequebook out.
"This is the squad I have to work with, I'm not going to ask for anything more," he said.
"But I know that anything can happen between now and October 5. I think the best thing for all managers is that the transfer deadline comes and goes. I think I have the best squad and I'm thoroughly behind my players."
Bale's relationship with Zidane reportedly deteriorated in recent months, although the Welshman told Sky Sports on Friday he had "no regrets".
Asked if he had anything to say about Bale, Zidane said: "I'm not going to speak about what Gareth said.