Romelu Lukaku produced a couple of impressive finishes, one with his boot and the other with his head, while Dries Mertens - later subbed with a suspected hamstring injury - and Michy Batshuayi also registered for the dominant hosts.
Striker Romelu Lukaku scored twice while Hazard was in blistering form.
"I really enjoyed his performance. At the end he just came off because he had a little bit of a dead leg, a little bit of a knock on his leg".
Belgium then dominated the game, with Hazard, Kevin de Bruyne and Mertens a constant trouble to the Costa Rican defence.
Los Ticos' advantage lasted only seven minutes, though.
"It's going to be hard, but it's possible we'll become world champions, we have the players and the coaching staff for it, some of us play in the best clubs in the world and are in the top of the league", he told t-online.
Within minutes, Lukaku questioned the resolve of Keylor Navas, who did well to keep out the striker, before Hazard's curler lacked any conviction and was easily collected by the Real Madrid goal minder.
"It's a great honour to wear the jersey of Belgium, the feeling is just different, it makes me very proud and I'm finally allowed to play in perhaps the best Belgian national team of all time".
England's next port of call is the Nizhny Novgorod Stadium and they face a 556 mile-long trip to play Panama on June 24 at lunchtime.
Costa Rica coach Oscar Ramirez said his team had effectively been engaging in "damage limitation" in the second half and would be looking for more speed, sharper passing and a tighter defence in Russian Federation.
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