Former Borussia Dortmund coach Thomas Tuchel has reportedly been lined up as Emery's replacement, with the club looking to progress after two years of treading water.
Germany worldwide Draxler rounded out the demolition, firing home via a deflection as PSG clinched the title at home for the first since 1994 while shattering Monaco's 17-match unbeaten run.
Things continued to get worse for Monaco too, Draxler capping off a standout showing by thumping home a late seventh to ensure that Paris made light work of Leonardo Jardim's men on their way to domestic glory. "Perhaps he'll have time to play a few matches before the end of the season", Emery stated.
In the space of seven minutes, PSG took a three-goal lead.
The hosts were in front four minutes later when Giovani Lo Celso slotted home from close range after a superb passing move, 1-0.
Javier Pastore supplied Lo Celso to head in PSG's fourth on 28 minutes and Monaco suffered further misfortune when France worldwide Djibril Sidibe was stretchered off with a leg injury, a worrying sign for both club and country ahead of the World Cup.
In a whirlwind first half, AS were able to grab themselves a slender lifeline when Berchiche was robbed by Almamy Toure, leaving the full-back to drill across goal and find Rony Lopes who lashed in at the back post.
Monaco lost fullback Djibril Sidibe with a possible knee injury that could impact France ahead of the World Cup in June and July.
PSG started the second half cautiously and Monaco seemed to be pushing for a comeback but Di Maria fired home from Pastore's cross to kill all hope for Monaco.
Earlier, Florian Thauvin struck a late victor as Marseille twice came from behind to beat struggling Troyes 3-2 and stay in the hunt for a Champions League place.