Postecoglou has emerged as the front runner to succeed Neil Lennon at Parkhead and the Hoops are in advanced talks to rope in the Australian.
The former Australia national team manager won numerous accolades during his spells with multiple clubs down under and also went on to lift the league title in his second season in Japan.
Bosnich is of the view that Postecoglou is not afraid to take risks and stated the Australian manager wants his team to play out from the back and commit bodies forward.
The former Premier League shot-stopper went on to insist that the Celtic managerial candidate will set his team up to play on the front foot, even if, they end up conceding goals.
“Ange Postecoglou is famed for the brand of football that he plays. He likes to play an attacking style of football where the centre-backs carry the ball out”, Bosnich told Sky Sports.
“He will take risks, even playing out with the goalkeeper sometimes and he likes his full-backs to get forward.
“Generally, he also likes to play with two wide men which all bodes well for attacking football.
“If you turn around and say, ‘would you rather win a boring 1-0 or have an exciting 4-4 draw’, I’m sure nine times out of 10 with the exception of a cup final he’d take a 4-4 draw.
“He has been a manager in the past who has trusted in the process, but I don’t think he will have the time that he has had at previous clubs to achieve success.
“Pressure will be on him from the first game and the scrutiny will be much higher at Celtic.
“But he will either succeed or fail through playing attractive football.”
The current Yokohama Marinos manager will look to prove his managerial credentials in Europe if the Hoops can secure his signature for the vacant managerial position at Parkhead.