The Ibrox club are currently competing in the Third Division after falling into liquidation in the summer but they are determined to bounce back to the top flight as soon as possible.
However, Arabs chief Thompson suggests that they will have to wait until they can again rub shoulders with the top Scottish clubs.
"Unless we get the voting structure changed I can't see anything happening at all," he told the Daily Record.
"Rangers can't be voted back in. They've got to earn the right by coming back up through the leagues.
"I'm not saying it won't but I can't see it happening. There's no way the leagues will be reconstructed for them.
"In an ideal world you would like to see everything changed at once. But I can't see how 11 clubs would agree on the size of leagues, money redistribution and voting.