Postecoglou became the first Australian manager to win a major European club competition trophy. Tottenham beat fellow Premier League strugglers Manchester United 1-0 in Bilbao on Wednesday night for their first silverware in 17 years.
The Melburnian adds silverware to his trophy-laden stints at Celtic, Yokohama F. Marinos, the Socceroos, Brisbane Roar and South Melbourne.
"It's a huge moment for Australian football coaches, everyone involved in football in Australia," Diles said.
"I'd like to think that everyone is behind me in saying that he deserves all the credit he gets.
"He's flying the flag for us. He's opened up so many opportunities for other Australian coaches in Asia, and I'm assuming, and I'm thinking, that he'll open up doors in Europe as well.
"It couldn't have happened to a better person, a better coach. So well done to him.
"He's someone that I think all people in Australia and young coaches like myself look up to and admire and respect."
With AAP.