"I am still close to Rangers and wanted to do the same thing for them and chairman David Murray, but it wasn't possible," said Advocaat.
"If they go on to win the title and the Scottish Cup with a squad of only 20 players, then that is a big consolation.
"We had to remain organised because Rangers were capable of scoring but we scored two beautiful goals and deserved to win."
Advocaat added: "Winning a prize like this doesn't come often in life. I am very happy and very proud to we have won. After the way we have played in this tournament we have really deserved this."