The scoreline was harsh on Nigeria, who need to quickly go about planning for the future upon their return from Brazil.
Popular coach Stephen Keshi announced he was leaving his position after the match, while defender Yobo retired from international football after becoming the first Nigerian to win 100 caps.
Vincent Enyeama is also considering quitting international football following a match in which the previously-impressive goalkeeper flapped at a corner, allowing Pogba to head France ahead with 11 minutes remaining.
"We were very well organised," Mikel told FIFA, speaking in defence of his team-mate.
"We knew exactly what we needed to do in defence against a strong team like France and, on top of that, whenever we had the ball we weren't afraid to attack.
"We even had good chances to go in front ourselves. We got so much right, but mistakes do happen. What else can we say? We need to forget it and move on."
As for France, they move on to an all-European quarter-final against Germany at the Maracana.
It is a match Antoine Griezmann will no doubt be involved in again, having played a role in four of France's matches to date.
The Real Sociedad winger's second-half introduction proved pivotal for Didier Deschamps' side against Nigeria, changing the play and pressuring Yobo to divert the ball into his own goal late on.
"I tried to get a touch at the near post, but I wasn't able to," Griezmann said.
"I tried to help the team by playing one-touch passes. I'm happy with my performance.
"You could see in the first half that it was difficult to get behind them, but it was better after the break.
"When I came on, I made runs in behind the defence. The rest of the team had worn their defence down well before I came on."