Ange Postecoglou claimed the foundations at Tottenham are "really fragile" after a 2-0 defeat to Manchester City put paid to their Champions League qualification hopes. (More Football News)
Erling Haaland struck twice in the second half as City leapfrogged Spurs' bitter rivals Arsenal to return to the Premier League summit heading into the final day.
Postecoglou had been left flabbergasted in the build-up by Tottenham fans claiming they would be happy to lose to Pep Guardiola's side in order to dent the Gunners' title bid.
And while there was a generally flat atmosphere inside the Tottenham Hotspur Stadium, home supporters were filmed celebrating City's opening goal while others chanted "are you watching Arsenal?"
The head coach, who was also captured arguing with a Spurs fan, was left far from impressed as his side's top-four hopes ended, with Aston Villa securing a place in next season's Champions League at their expense.
"The foundations are really fragile," he said. "The last 48 hours have shown me that. "It's inside the club, outside the club, everywhere. It's been an interesting exercise. It's just my observations.
"I can't dictate what people do. They're allowed to express themselves any way they want. But when we've got late winners in games, it's because the crowd has helped us.
"Maybe, I'm out of step, but I just don't care, I just want to win. I want to be successful at this football club; that's why I was brought in. So how other people want to feel, and what their priorities are, are of zero interest to me.
"I know what's important to build a winning team - that's what I need to concentrate on."