"It is a very disappointing defeat, as we held out well against Milan," said the defender.
"Unfortunately, incidents often don't go our way and we're just unlucky at the moment. A draw would've been the right result, but that's how it goes."
There are reports Gigi Del Neri could be fired after this latest setback, as they have lost seven of their last 12 outings.
"Juventus are united and have faith in the Coach," assured January signing Barzagli.
"We proved that by playing in a solid and determined fashion against Milan. This is a difficult time, we're not happy and know that people expect a great deal from us.
"We will work with the Coach to find a way out of this situation."