The move would see Aurelio Vidmar's squad strengthen dramatically and also give the trio more game time ahead of the 2010 World Cup, which Mitchell touched on.
"The big picture is the most important thing and that's helping out the national team," Mitchell said.
"The national team - it feeds World Cups, it feeds the A-League and it feeds everything else.
"Why would I be so selfish and tell our players 'no you can't play for them'?
"This would help Adelaide in the Asian Champions League and it's going to help the (Glory) players and the Socceroos.
"It's a win, win, win. Why would I be so selfish?"