Spurs suffered the worst start in their history with two points from their first eight games but, following the departure of Juande Ramos, Harry Redknapp arrived at White Hart Lane and immediately turned the club's fortunes around.
For a short spell, Spurs looked as if they would qualify for next season's inaugural Europa League through seventh place.
They finished two points behind Fulham, in eighth spot, but Keane, the Tottenham captain, insists that is something to be proud of.
"I think we have to be happy overall with the way we have finished the season, considering we were hovering close to the bottom of the table when I came here," said Keane.
"I'm not for one second suggesting that the recovery has been down to me because the manager has done a fantastic job since coming here.
"To think we only had two points from eight games and people were talking about us possibly being relegated, and then finishing the season in eighth place.
"We saw some big clubs get relegated over the weekend, so we have to be pleased with the way we have performed in the second half of the season."