Former Scotland striker Ally McCoist expressed his support for Postecoglou taking over the Scottish national team. McCoist praised Postecoglou's ability to win trophies and believes he would be a great fit for the role. McCoist also acknowledged the excellent work of current manager Steve Clarke, but sees no issue with Postecoglou taking the reins.

Additionally, there are reports suggesting that Postecoglou is being targeted by a rival Premier League club ahead of the 2025/26 season. Former Celtic and Tottenham defender Ramon Vega also spoke about Postecoglou's potential return to the Scottish side, suggesting that he might be snapped up by another team before rejoining Celtic. Vega believes Postecoglou will likely stay in the Premier League, given his experience and achievements.

Postecoglou's time at Celtic was marked by his success in the Champions League, and Vega thinks that his return to the Scottish side would bring significant value to the team, particularly in European competitions. However, Vega also acknowledges that Celtic is a unique club with a distinct identity.