Premier League managers were speaking before their midweek Carabao Cup fixtures.
Ruud van Nistelrooy was appointed interim manager and will take charge for Manchester United’s fourth-round meeting with Leicester City, but the club are in talks about appointing Amorim as Ten Hag’s permanent successor.
Ten Hag carried out his pre-match media conference for Wednesday’s EFL Cup tie at Old Trafford (19:45 GMT) following the loss at West Ham – but those comments were embargoed until Tuesday afternoon.
The former Ajax boss, who won the League Cup in his first season at United and FA Cup in his second, said: “Our ranking is not reflecting our performance and our levels.”
On whether a trophy this season would constitute a success, he said: “Definitely, it’s about trophies. If you win a trophy in top football, that is most important.”
Tottenham manager Postecoglou said it is becoming increasingly difficult to do the job in “any kind of processed way”.
“I guess [I’m] disappointed as it was inevitable with the scrutiny he’d had. It’s the nature of football these days,” the Tottenham boss said.
“Erik was there for two and a bit years and he won a trophy in each year. If he was here [at Tottenham] with that record, would he have lost his job? Would he be under the same scrutiny?
“Everyone tells me all I have to do is win a trophy but I have got a feeling it would be the same. As a manager, you have to hit a sweet spot of success, playing football everyone likes and getting every signing right.
“I’m sure Erik will bounce back from that because he is a good manager. I’m sure his career will continue to go on strongly.”
Before his side face Van Nistelrooy’s Manchester United, Leicester manager Steve Cooper said: “Whatever level you work at, it’s a demanding job. The highs and lows are as extreme as it gets. You applaud managers when they do well and you feel for them when they don’t – that’s how I feel for Erik and any manager who loses their job.
“It’s a very, very high-profile job at a huge club with plenty of scrutiny. It’s never nice to see, but I wish him well and I am sure he will bounce back, as and when he is ready.”