Postecoglou had walked over to the away section at the conclusion of the match where he was met with a chorus of boos from the travelling support.
However, Postecoglou downplayed the exchange with fans after the match as he opened up on the "pretty direct feedback".
"I wasn't having a word," he told Amazon Prime Sport. "They are pretty disappointed and rightly so.
"I got some pretty direct feedback as to how we are going, and that's fair enough."
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The Australian coach appeared to exchange words with a number of supporters before pointing at the Spurs badge on his jacket.
As supporters continued to vent their frustrations, Postecoglou then quickly applauded fans before walking back across the pitch.
The loss leaves Tottenham in 10th place in the Premier League with six wins, two draws and six losses in their 14 outings so far.
Postecoglou later added in his post-match press conference: "They are disappointed, rightly so. They gave me some direct feedback which I guess is taken on board."
On what was said, he stated: "Yeah probably not for here mate."
He continued: "I've got no issue with it. I didn't like what was being said because I'm a human being but you've got to cop it.
"I've been around long enough to know that if things don't go well, you've got to understand the frustration and disappointment.
"They're right disappointed tonight because again we've let a game of football get away from us.
"That's ok, I'm ok with all of that."