The former Man Utd defender has played his entire career under the great Sir Alex Ferguson, who is widely regarded as the best boss of the Premier League era.
But given the choice of the 20 best current managers, Neville opted for Klopp, who led his Liverpool team to the edge of the title this season.
Asked about the Sky Sports football show, Neville said, “I would probably say Jurgen Klopp. I’m just looking at the way his teams are playing right now, they are adaptable.
“They play with possession but they also counter attack, they are also competitive. They are not ponies in a round and I think it just seems that he is full of energy, full of belief, confidence, always the impression that he wants to attack.
“But of course there are other great managers in the Premier League – Pep Guardiola is one of the greatest managers of all time, but I just think Klopp is someone who would be great to play for. “
Klopp’s style has had a clear effect on his players this season, with a 25-point lead over Liverpool ahead of Guardiola’s City.
The German boss is expected to win his first Premier League title in his fifth campaign, while Guardiola has already managed the feat twice.
Jamie Redknapp, Neville’s Sky Sports colleague, said he would rather play for the city’s boss, although the two managers led the field.
“There are two managers who stand head and shoulders above everyone, it’s Pep Guardiola and Jurgen Klopp in the Premier League right now,” said Redknapp.
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“Personally, I would have been better able to play for Pep Guardiola. I think playing in the midfield of Jurgen Klopp is not always a complex pass.
“With Pep, he wants his team to play, he wants to dominate the ball, and that would just have suited my style more.
“But I would have liked to play for one of them – the team is talking, just the knowledge of working with them day after day. “