Liverpool are on the lookout for a new boss after dismissing Brendan Rodgers on Sunday.
Former Arsenal striker Wright has explained why Liverpool should not move for Klopp, who is without a managerial job at the moment.
The former England international has urged the Merseyside outfit to try to bring in former Chelsea and Real Madrid boss Carlo Ancelotti, who is also currently unattached.
“If Liverpool can get Ancelotti they should take him with open arms experience, he has never done badly wherever he has gone, he is a classy bloke,” Wright said on BBC Radio 5 Live.
“I am sure Klopp’s name will be thrown in, a manager like that out of work is maybe why pressed the button, it is time to tempt a manager like that.
“When I think of Klopp, I think of that bad season that Dortmund had after the Champions League final, I thought the motivation wasn’t there, Liverpool don’t need that.
“They need a manager who has a track record to be able to stabilise the club, get Liverpool back on the front foot where they should be.”
Wright’s arguments against the appointment of Klopp makes sense, but those in favour of Ancelotti are debatable.
The Italian tactician is arguably the best available manager in the world at the moment, but Liverpool are not for him.
At the likes of Chelsea, Madrid and Paris Saint-Germain, Ancelotti had top-class players available; at Liverpool he will have to deal with a largely average squad.
The former AC Milan boss would essentially have to do a rebuilding job at Anfield, but is he made for it?
Will Ancelotti want to take charge of a team in which there is no world-class player?