Monday night's EPL fixture will be Spurs' first at home since tensions escalated in the Middle East, with hundreds of Palestinian civilians killed in a massive blast at a Gaza City hospital last Tuesday.
A statement was issued by Tottenham earlier this month in response to the conflict, but some supporters were critical of the club for failing to show support for victims from the Jewish community, which has a long-standing affiliation with the Premier League outfit.
"I have the responsibility of being a football manager but like everyone else, I'm a human being and you struggle with these things and you understand that other people will struggle with them," former Socceroos boss Postecoglou told reporters.
"My life experience has taught me not to judge or come to any strong conclusions.
"I'll let the people who are affected by it be the guide in these kinds of things, because it's very easy for others to cast judgement but ... you are guided by people who are directly affected.
"I am not the custodian of this club. I have been at this club for four months or whatever it is.
"People have spent lifetimes in these clubs, so I am not going to go round telling people how to feel, how to behave, how to act, what to think."
Spurs would move top of the Premier League with victory over Fulham, and Postecoglou said he hoped the match could provide a place for supporters to "come and escape and hopefully unite as one to support their football club".
"Maybe take them away from whatever troubles they may have - that's the greatest role any football club has," he said.
No Israel or Palestine flags will be allowed into Tottenham's stadium on Monday, a club-wide move by the Premier League in an attempt to ease any potential tension among supporters.
15°C