The Real Madrid striker, back in the squad after a hiatus of more than five years following a row with coach Didier Deschamps, helped his team mates shine with Kylian Mbappe, Antoine Griezmann and Ousmane Dembele finding the back of the net.
Wales threatened early on but had their wings clipped when Neco Williams was shown a straight red card for handling the ball from a Benzema attempt, which led to the forward missing a penalty in the 27th minute.
"I had good sensations after a week of hard physical work and a long club season," said Benzema.
"I felt good throughout the game, it's a good sign. We still have time to fine-tune but what mattered tonight is that we tried things and that we won."
Deschamps was satisfied with Benzema's display.
"He was unlucky but you can see how gifted he is technically. A goal would have capped it off but he's saving the goals for later."
Danny Ward made a spectacular stop from a Pogba header but Benzema had followed up and Williams used his hand to deflect away the striker's attempt.
Following a VAR review, France were awarded a penalty and Williams was sent off, only for Benzema to see his spot kick saved by Ward, meaning Les Bleus have missed five of their last eight penalties.
Ward was at it again to deny Antoine Griezmann, but the ball fell into the path of Mbappe, who stabbed it home for his 17th France goal in the 34th minute.
Griezmann doubled the advantage three minutes into the second half with a superb curled effort after being set up by Benzema's back heel.
Benzema had another chance on 79 minutes as his half-volley hit the post before falling to Dembele, who scored France's third with a cool finish.