Lloris signed for Spurs in 2012 and went on to make 447 appearances for the Premier League club, but he hasn't played since April after he made clear his desire to take on a new challenge at the end of last season.
Ange Postecoglou gave the green light for Lloris to leave this summer and, while no transfer materialised, Tottenham entered talks with the MLS outfit Los Angeles FC earlier this week and their veteran goalkeeper has now departed.
Lloris said in a club interview: "This is a personal message to all the Spurs fans. I just wanted to say thank you for all your support since day one.
"It has been a great privilege to be one of yours and one of your captains for many years and it's the end of the chapter, but you will be always in my hearts. Spurs will always be a special place for me and all my family.
"On behalf of them I would like to say thank you for all memories that we had together, all the emotions we went through and I just want to wish you the best for the next decade because you deserve the best."
Lloris will take to the pitch at halftime of Tottenham's home clash with Bournemouth on Sunday to say farewell to the supporters.
It represents the latest changing of guard at the north London club after record goalscorer Harry Kane left in August.
Spurs signed Lloris from Lyon in 2012 and he went on to become a stalwart, taking the captaincy under Mauricio Pochettino and leading the team to two League Cup finals and most notably the Champions League final in 2019 in addition to several top-four finishes.
Lloris, 37, last played for Tottenham during the 6-1 loss at Newcastle in April, where he was replaced at halftime with a thigh injury.
After World Cup-winner Lloris stated his desire to move on in the summer, Lazio and Nice were among the clubs to register an interest, but no transfer occurred and he was replaced as captain by Son Heung-min before the new campaign.
Postecoglou regularly talked up the professionalism of Lloris but quickly made summer recruit Guglielmo Vicario his first-choice goalkeeper and selected Fraser Forster as back-up, while academy graduate Brandon Austin has even been named on the bench this term.
Lloris, who led France to the 2018 World Cup triumph and also guided them to last year's final in Qatar before he retired from international football, leaves Spurs in eighth place in the club's all-time appearances' list, having spent 12 seasons in N17.
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