Moreover, it was a "perfect" hat-trick: a header, and goals with his left and right boots.
But with Gareth Bale and Karim Benzema back from injuries, the 25-year old has not started the last three La Liga fixtures for the club, leading to rumours that the Spaniard might be on the move from the club in the upcoming summer transfer window.
Lucas Vazquez gave Los Blancos the lead inside the first minute, and Ronaldo and Toni Kroos took full advantage of terrible defending to build a four-goal lead before half-time. Instead, Juanmi headed against the post for the Basque side, who pulled one back on 74 minutes as substitute Jon Bautista was given space to slot past Keylor Navas.
Should the defending champions exit the Champions League in the round of 16 for the first time since 2010, the only thing to play for over the rest of the season will be a top four spot and qualification for Europe next year.
And Hazard's latest comments about the Real Madrid boss are likely to do nothing to cool down talk of a possible move to the Bernabeu for him in the future.
"I think PSG are a spectacular team that are made to win the Champions League", he told RMC.
Zinedine Zidane's side climbed up into third on Saturday evening after Los Blancos thrashed Real Sociedad 5-2 in La Liga. I chased mine and I want to keep doing so, to improve and achieve even more goals.
It was also eye-catching that Luka Modric was subbed out of Saturday's game just after the hour mark.
Antoine Griezmann's goal after only 40 seconds was all Atletico Madrid needed to beat Malaga 1-0 and close the gap with Barcelona to six points.
Neymar scored the only goal of the game midway through the second half.
Neymar finds the net again!
Victory was PSG's 10th on the road in Ligue 1 this season, while Toulouse went down to their fifth defeat at home.
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