In their final pre-season game before taking on Arsenal in Sunday's Community Shield, Chelsea netted a late equaliser to make it 2-2 against the La Liga giants before downing them 4-2 in the shoot-out.
In the International Champions Cup match, Hazard put the Blues ahead after ten minutes, beating five Barca players with a stunning dribble before slotting home neatly.
Luis Suarez's smart lob and Sandro Ramirez's fine curler put Barcelona in front during the second half.
The centre-back suffered a broken nose in the incident but ensured his team took their illustrious opponents to penalties.
From there, Alen Halilovic and Gerard Pique were sloppy with their spot kicks while Chelsea were perfect.
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