© Getty Images
Pogba almost claimed his second a couple of minutes later as he ran towards the box, but his shot drifted just wide.
Havard Nordtveit came close for the Norwegians in the first half, squeezing a free kick under the wall, but it drifted just wide of the post.
The hosts doubled their lead early in the second half when Giroud recovered from a poor first touch to strike the ball on the half-volley from the edge of the box.
The Arsenal striker almost had another as he stretched for a Valbuena free kick into the box, but he mis-hit it and sent his finish well high of the bar.
Loic Remy made it three less than two minutes after coming off the bench shortly after the hour mark, beating an offside trap before drilling the ball in low.
Giroud was on target again just two minutes later as Norway's defenders struggled to contain their opponents, letting the striker head in from close range for his second of the night.
Remy had a chance to complete a brace inside five minutes when he picked up a through-ball from Moussa Sissoko fell for him, but he could not get his finish on target.
The duo teamed up again inside the final five minutes as France continued to push, but the Queens Parks Rangers forward was denied by Nyland.
France will have further friendlies against Paraguay and Jamaica before the start of the World Cup.