Spurs face recently relegated Leicester City in Thailand's capital on Sunday before travelling to Singapore to play against Lion City Sailors on Wednesday as they continue their Asia-Pacific pre season tour.
But Postecoglou's press conference on Saturday was disrupted by a German reporter, who decided to bring in and hold up a Bayern Munich shirt.
This wasn't just any Bayern Munich shirt, though, with the reporter deciding to have 'Kane 9' printed on the back amidst the England captain's transfer links to the Bundesliga giants.
And the Spurs boss wasn't impressed by the reporter's move.
"Did you get a good laugh there?" he responded as he noticed the shirt. "You've come a long way for that. Thank you."
Read more on Kane
Ex-Arsenal and Man United targets and Brighton wonderkid - Kane replacements for Spurs
Ange Postecoglou 'not relaxed' about ongoing Harry Kane transfer saga at Tottenham
Postecoglou recently admitted he 'wasn't relaxed' about the interest in Kane, stating the situation wasn't helping the striker or the club.
Bayern Munich, Manchester United and Paris Saint-Germain have all showed interest in Kane this summer, with the Bundesliga club seeing two bids rebuffed.
According to The Times, Bayern are now readying a third bid for Kane, with the Bundesliga champions confident the England captain wants to join them this summer.
But so far Spurs have deemed the offers of £60million and £70million for their all-time leading scorer - who is now in the final 12 months of his contract - as insufficient.
Most read in Football
England 1-0 Haiti LIVE REACTION: 'Brilliant' Earps sees 'shellshocked' Lionesses claim win
Messi stuns in debut, fresh twist in Mbappe saga, Partey to stay, Newcastle failed bid
Chaos as Lionesses open World Cup account after VAR drama as Stanway maintains record
Beckham's emotional reaction caught on camera as A-list stars stunned by Messi
The Australian was inevitably quizzed on his side's star striker, though, with one reporter asking if Kane will need to adapt to his style of football.
"Not really, I've had all types of strikers," Postecoglou said. "I've worked with all kinds of strikers.
"The one I look for is someone with the ability and laser-focus to score goals."