The Chelsea winger was outstanding in the first half but his influence waned after the break as Didier Deschamps side retreated into their shells once Samuel Umtiti had headed the only goal of the game in the 50th minute.
Thereafter France relied on the speed of Kylian Mbappe on the break and were rarely threatened as a superb defensive effort, led by Raphael Varane and Hazards Chelsea teammate NGolo Kante, kept the competitions top scorers at bay.
I prefer to lose with this Belgium than win with that France, said Hazard afterwards.
Those sentiments were echoed by goalkeeper Thibaut Courtois, who said: France have played anti-football. I have not yet experienced that a striker plays so far from goal.
Its their right to play like that… but its not nice to see. Not only the French tactics, but the referee… he didnt call well at all.
Manchester City star Kevin de Bruyne, meanwhile, was a little more diplomatic, perhaps mindful of the fact he will share a dressing room with several French internationals next season.
He said: Have I been annoyed by France? No, I play at City. I play against teams that play so defensively 90% of the time.
That is football. What they do, they do well. Both teams have had opportunities. That one goal makes the difference.
More: Chelsea FC