The Blaugrana sporting director is refusing to be satisfied with his team's draw in Europe, believing that each opponent in the competition poses their own risks
The legendary goalkeeper is looking forward to a series of tests in Europe's premier club competition this season, and feels each team in their pool are distinguished by their footballing ethics.
"Whenever we are involved in a draw we are satisfied," Zubizarreta was quoted as saying by Uefa.com.
"I see our group as being what I call a 'footballing' one, and one that will be filled with passion and contrasting styles.
"Every team will look to test us. It's going to be an interesting section to start with."
Meanwhile, club captain Carles Puyol stated that he is happy with the draw his side were handed, but urged his team-mates not to be complacent.
"We're favourite, and we can be happy with the draw," he said at a press conference. "It won't be easy.
"You pay dearly for any errors or overconfidence in the Champions League. We respect all of our rivals."
Puyol missed Wednesday night's Clasico clash with a fractured cheek bone, but is unsure as to when he will make his comeback from the injury.
"Beyond my fractured cheekbone, I also have issues with my lower back. I was willing to play at the Bernabeu, but when I got up that day I wasn't feeling right.
"I still have that discomfort, so we'll have to wait."
Barcelona begin their Champions League campaign on September 19 when they host Spartak Moscow.