Spurs chairman Levy has dropped his complaint against Liverpool to the Premier League but insisted he did not "regard it as a transfer deal" due to the way the deal was conducted.
The official complaint was withdrawn after an apology and a donation to the club's main charity, the Tottenham Hotspur Foundation.
Levy added: "I have already made my opinion clear on the nature of this transaction. I don't regard it as a transfer deal - that is something which happens between two clubs when they both agree to trade - this is very much an enforced sale, for which we have agreed a sum of £19million as compensation plus a potential further £1.3million in additional compensation."
Keane issued a statement on Monday night, which read: "I would like to place on record my thanks to the board, players and fans of Tottenham for the past six years, which were the best and most enjoyable of my career to date.
"I will never forget them. I would specifically like to thank chairman Daniel Levy for understanding, that, as a fan, joining Liverpool is a lifelong dream of mine and one I couldn't let pass me by.
"I hope one day the Spurs fans, who have been brilliant to me, can understand this too.
"I have only good things to say about my time at Tottenham and expect them to go from strength to strength under Juande Ramos and Daniel Levy."