The 27-year-old started the season at left-back, but was moved into a central-defensive position when manager Antonio Conte switched formations from 4-1-4-1 to 3-4-3.
"I think (Cesar) Azpilicueta is the best defender in the league and if there was any full-back in the league I'd want in my team it would be Azpilicueta".
As well as analysing the Merseyside derby, the two former England teammates cast their eye over the Premier League season as a whole thus far, as Chelsea now threaten to run away with it. I don't think the defending has been great, so there's no surprise I've got two Chelsea players there.
Do you agree with them?
Mauricio Pochettino's side have managed to steady the ship in recent weeks after losing to title rivals Chelsea and Manchester United in back-to-back away games.
Carragher took the chance to highlight Southampton boss Claude Puel in that category while, when asked to pick their players to watch in the second half of the season, the former Liverpool defender went for Manchester United's Paul Pogba.
'They have got the mental strength. The reason I've gone for him is, besides Jermain Defoe, he is maybe Sunderland's most important player and I can't really say that about another keeper in the league.
'I was critical of him (Pogba) early on in the season but I think now they've found the right fit for him.
And Neville pinpointed that an injury to either Hazard or Costa could very easily scupper Chelsea's charge.
Neville revealed his opinions on a range of topics, including naming Tony Adams and Roy Keane as the best captains he has played under, admitting that he thinks Spurs will once again finish in the top five, and that he does not believe West Ham will get relegated.
Both went with the league's top scorer, Diego Costa, up front with Alexis Sanchez getting the nod from Carragher and Neville going with Zlatan Ibrahimovic.