“I love watching him on the sideline, I love his interviews and I love the way he interacts with the players.
“He is exactly what the Premier League needed and exactly what Liverpool needed.
“Look at how he’s got the best out of players. (Sadio) Mane from Southampton has been exceptional, Firmino has been brilliant as have (Adam) Lallana and (Jordan) Henderson.
“He is getting the best out of players and you can see the players have bought into everything he is trying to do.
“They are the most exciting team at the moment to watch.”
Keane on Leeds progress
“It is great to see both clubs doing very well,” said the Irishman, who is attracting interest from clubs in Australia, China, Qatar and Dubai having become a free agent after leaving the Los Angeles Galaxy.
“Leeds hopefully seem to be a bit more stable under Garry Monk, who I think is doing a great job.
“It is a club that deserves to be in the Premier League with the following they have.”
Keane had frustrating six-month spell at Liverpool after a £20million move from Tottenham in the summer of 2008.
He scored seven times in 28 appearances before returning to Tottenham in February after seeing his first-team opportunities become limited by then manager Rafael Benitez.
Current Reds striker Daniel Sturridge, who missed Saturday’s win over Sunderland with a minor calf problem, currently finds himself in a similar position but Keane believes it is no reflection of his ability.
“I have played with players over the years who actually don’t mind sitting on the bench but I certainly don’t think Sturridge is like that at all,” he added.
“You can see he is desperate to play and with his quality it is only a matter of time.”