The Catalan giants lost 2-1 at the Amsterdam ArenA, their first defeat of the season, but they still lead Champions League Group H with one game to play.
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"We could've picked a worse game to lose," Fabregas told Marca, alluding to the fact they still top the group and had already secured last-16 qualification. "The result is not a disaster for us.
"We were poor in the first half, and lacked a level of intensity and hunger. We ran a lot, but never really did enough to justify getting anything from the game.
"You can't always win every game, but we will stay united as a team whether we win or lose.
"Ajax played very well, with a great intensity, and must be applauded."
Barca's next game is a visit to Athletic Bilbao on Sunday.
MasterCard is excited to present episode three of the Priceless Memories Uefa Champions League video series. See what Manchester United legend Andrew Cole had to say!