PSG has now claimed the season-opening cup on fourteen different times.
Paris Saint-Germain needed a stoppage-time equaliser followed by a perfect penalty shootout to get past their arch-rivals in the Gulf and secure a fourth straight Trophee des Champions title.
The European champions seemed to be coasting towards a comfortable win in the match featuring the Ligue 1 winners and the French Cup winners after the French winger found the net in the opening stages.
Yet, the southern French side fired two times in the closing moments to seize a shock advantage. Initially, Mason Greenwood scored from the spot-kick, before the defender inadvertently turned the ball into his own net for an own goal.
In a remarkable twist of fortune, Goncalo Ramos snatched a crucial leveler in the final seconds to send the match into a deciding shootout. The Parisian shot-stopper Chevalier then stood as the hero, saving decisive attempts from Matt O'Riley and Traore.
From the spot, Ramos, Vitinha, Nuno Mendes, and Desire Doue all converted with composure for PSG to seal a 4-1 penalty win.
The record winners Paris Saint-Germain, who met last season's Ligue 1 runners-up Marseille after completing a domestic double, have now lifted this trophy for the 12th time in the past 13 years.