The London club parted ways with Postecoglou despite the Australian manager ending their trophy drought by winning the Europa League after defeating Manchester United in the final.
That Bilbao victory secured Tottenham a spot in next season’s Champions League, even though they finished 17th in the league.
Club legend Lloris praised Postecoglou’s accomplishments and expressed his thoughts on the decision to sack the coach just days after such a major European triumph.
"No, nothing surprises me in football. But at the same time, it is hard to say something because I am on the other side. I don't know what happened inside the club so it really hard for me to judge. If they made this decision, it is because they believe there is another option which is better for the future of the club,” Lloris said.
"What Ange Postecoglou did was just remarkable. He brought this Europa League trophy, he brought a lot of joy to the Spurs community, a lot of pride as well and we all have to be thankful for that.
“I am not here to discuss about the choice (of Tottenham's new head coach). He is a well-respected coach. He did an amazing job with Brentford.
“Now, like every coach, when you arrive in a new club, there is a new environment which you have to embrace. But if the club decided to appoint him, it is probably because they decide it is the best for the future."