After coming on as a substitute in Belgium's two opening matches at Euro 2020, Hazard started against Finland and posed Markku Kanerva's side problems alongside Romelu Lukaku and Jeremy Doku.
Hazard, who battled through an injury-plagued 2020-21 season in which he made just 14 LaLiga appearances, played all 90 minutes against Finland and impressed his coach.
Martinez told reporters: "He [Hazard] pushed himself and got into good positions.
"He looks free, twisting right and left. He feels strong, happy, his body is reacting well.
"The next step is now to see Eden with that final pass, that shot that finishes in the back of the net.
"I was delighted with his performance."
Since losing 1-0 to France in the semi-final of the 2018 World Cup, Belgium have scored in 33 consecutive matches in all competitions.