Last term, United's season came to a close with an extra-time defeat to the same opposition in the FA Cup final, but this time it was Chelsea's turn to taste the blues after a 3-0 shootout defeat.
Van der Sar told Sky Sports 1: "It is a little revenge for the cup final."
The Dutchman saved all three Chelsea penalties, with United scoring all of theirs, but the United goalkeeper admitted he had little reason for optimism going into the shootout.
"I was 5-2 down on my career so this is a great feeling and I think we deserved it," he added.
"We created more chances."
Wayne Rooney, who buried the winning spot-kick, was pleased to start the new campaign with some silverware.
But he refuses to believe it will count for much when competitive action gets under way next week.
The England international told Sky Sports: "You want to start the season well so this is fantastic for us.
"Chelsea are a great team and you can't take it away from them.
"Once the season starts then the way the results go will take care of things."