However, the win came at a further cost for injury-hit PSG as Kean, defender Thilo Kehrer and midfielder Idrissa Gueye all had to come off prematurely.
Kean’s low strike put PSG ahead before Di Maria clipped home the second.
The Argentina winger made it 3-0 with a low deflected shot in the 75th minute.
Julien Stephan’s side, making their Champions League debut this season, regularly threatened in the PSG area, but goalkeeper Keylor Navas was called into action only on a couple of occasions.
PSG coach Thomas Tuchel will be thankful for the upcoming international break.
The German was again without his two injured star strikers Kylian Mbappe and Neymar, with Juan Bernat, Mauro Icardi, Presnel Kimpembe, Julian Draxler, Pablo Sarabia and Marco Verratti also sidelined.
He then had to replace Gueye and Kehrer in the first half before Kean limped off after the break.
Full-back Alessandro Florenzi failed to re-appear after half-time, although it was unclear whether he had also picked up an injury.