Madrid needed greater-time to win 2-1 on the Martinez Valero and were given a scare by using Elche, whose Gonzalo Verdu gave them the lead in the 103rd minute, moments after Marcelo have been despatched off.
Yet Madrid got here storming back, with Isco prodding in Dani Ceballos' shot before Hazard rounded the goalkeeper and scored an a hundred and fifteenth-minute winner.
The victory sends Real Madrid into the zone-finals, in which they be a part of Real Sociedad, Mallorca, Rayo Vallecano, Cadiz, Valencia and Real Betis. Barcelona play Athletic Bilbao afterward Thursday.
Hazard has been match however nevertheless at the fringes of Carlo Ancelotti's team this season and even on this cup sport, he commenced on the bench.
But the 31-yr-old got here on on the begin of more-time and he'll desire his winner can be the beginning of a resurgence within the 2d half of the season.
Karim Benzema become rested whilst Thibaut Courtois become unavailable due to a personal count number, which means Luka Jovic and Andre Lunin were given uncommon possibilities for Madrid up front and in intention.
Fede Valverde and Edouard Camavinga started out in midfield in preference to Luka Modric and Casemiro, even though the latter pair needed to be known as upon past due within the 2d 1/2.
A minute of silence was located earlier than the fit in memory of Paco Gento, who died aged 88 on Tuesday. Gento played in all five of Real Madrid's successive European Cup triumphs among 1956 and 1960.
Elche must have taken an early lead however Guido Carillo turned into guilty of a miss so as to definitely move down as one of the worst of the season. He appeared positive to score from a yard out but, off balance, skewed his end onto the crossbar.