El Cholo has come under fire recently due to Atletico Madrid's poor run of form, but the Englishman has backed his boss.
"Is Simeone the best manager in the world now? For me, personally, yes," Trippier told the BBC.
"When people actually play for him, they realise how good he is.
"Obviously you've got some good managers: [Jurgen] Klopp, [Pep] Guardiola... Sean Dyche. You've got quality managers out there but he's certainly up there for sure.
"I think everybody knows how good he is, how passionate he is when he is on the touchline and when he's in training. He's unbelievable and I've got this opportunity to learn from him.
"You always see him with an arm around the young lads. When you see him fired up it gives you a lift and it just shows how passionate he is."