The former Liverpool midfielder would like to see the ex-Chelsea, AC Milan and Real Madrid boss appointed at Anfield.
Both men have been linked with the now vacant position at Anfield after Liverpool parted company with Brendan Rodgers following their 1-1 draw with Everton in the Merseyside derby, as the Reds have endured an indifferent start to the season with numerous poor performances.
In an interview with TalkSport, Murphy believes the Italian's experience in England managing Chelsea means that he is less of a risk when it comes to appointing a new boss.
He said: "Ancelotti has done it as a player, he has done it as a coach, and he has done it in different countries. And, ultimately, he has done it here already with Chelsea. He has won the league here, he has won the [FA] Cup here, so he knows this league. That in itself gives him a headstart on Klopp.
“He is not as erratic, he is much calmer, he has dealt with big players for years. Klopp has only had success with one club and for a minimal time and, if you look at how it ended at Dortmund, they were in the relegation zone and he couldn’t get a tune out of his players.”
That is of course a massive tick against Ancelotti when it comes to his pedigree at several different clubs, and also in the English game, but what doesn't seem to have been considered is the recent back surgery the Italian underwent during the summer which, according to the Guardian, meant he turned down job offers from elsewhere.
The thing is, Liverpool find themselves in a not so different situation to the one Borussia Dortmund found themselves in when Klopp took over there - a once great club with a huge fan base that were also rans in the Bundesliga and had slumped into mediocrity. Liverpool aren't quite at the depths Dortmund plunged to but they could be in danger if they don't get things right - but by the looks of things it seems that the club's owners want to make a statement of intent with their next appointment.