Didier Deschamps' men progressed into the second round of the World Cup having topped Group E with two wins and a draw after their stalemate with the South American side.
A much-changed XI were far from their fluent best against their opponents who were reduced to 10 men when Antonio Valencia was dismissed early in the second half.
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"We played well and put in the performance that was expected of us, but we didn't get the result we deserved," he told Fifa.com.
"All we lacked was a bit of a break in front of goal, that’s all.
"I don't think this match will have any kind of negative effect on our confidence. We drew, we didn't lose. That's an important distinction."
France's unbeaten group stage campaign is a step forward from their shambolic campaign in South Africa four years ago when they crashed out with just a single point, and Pogba believes Les Bleus can be proud of their efforts this time around.
"We can be satisfied with how we did overall and with our qualification for the knockout stages," he added.
"It could have been Argentina [who France booked a tie with in the last-16], or another team, but no matter who it is, our goals of winning and getting as far as possible in the tournament don't change. We're doing everything we can to achieve those aims."