The Reds came back from 2-1 down in the final 20 minutes to claim the three points.
Shelvey played a big part in the winner, with his movement forcing defender James Collins to divert the ball into his own net.
In the absence of talisman Luis Suarez, the 20-year-old was forced to play in a central attacking role, and his manager was delighted with the performance he saw:
“He was outstanding. But you see there are two different ways in which you can play the number nine role.” The Northern Irishman told SkySports.
“In this country it is always a very traditional target man, a clear number nine. Give credit to Carlton Cole, I know him form my time at Chelsea, he is a real handful and was outstanding today.
“But you see young Jonjo at 20 years of age playing the number nine role in a different way – dropping into midfield and combining with the midfield players to make the fourth man, being a threat when he is in around the box, showing great feet and I thought he was outstanding today the kid.
“It was great credit to him because there was a lot of pressure on him because people have been trying to compare him to Luis Suarez.
The Anfield chief also backed the former Charlton star to improve in the future:
“He is only 20 and has a big future ahead of him.”
Liverpool took the lead through Glen Johnson before a Mark Noble penalty and Steven Gerrard own goal swung the score line.
Joe Cole equalised after 76 minutes, before Collins put the ball past Jussi Jaaskelainen.