Previous manager Craig Levein selected Rangers midfielder Ian Black for the August friendly win over Australia, he had concerns that players from the third tier of Scottish football could step up to international level.
Rangers winger Templeton has never made a full Scotland squad, but he hopes to be given a chance to shine under Strachan.
"Hopefully he'll not shut the door on anyone here and if I'm playing well it would be nice to think I might get a chance," said Templeton.
"With him being a winger himself, he might like that type of player and if I play well hopefully I can get a chance."
Meanwhile, the Rangers Fans Fighting Fund will underwrite any legal costs incurred if it is deemed necessary to challenge the potential stripping of SPL titles.
An independent commission chaired by Lord Nimmo Smith will begin a hearing into alleged undisclosed payments made by Rangers to players before the club went into liquidation.
The current Rangers regime are not co-operating with the inquiry but the fans' group, which raised more than #500,000 after the oldco club went into administration, is standing by to fund any potential appeal.
A spokesman for the fans' group said: "It is absolutely crucial that Rangers' titles remain untouched.
"But because there has been a long-running campaign in the media and within certain other clubs to punish Rangers, we must do everything within our power to protect the club's proud history.
"Every fair-minded person knows where these titles belong and we will not sit back and allow anyone to have them removed."