The Manchester United legend has claimed that Liverpool would be the ideal destination for the Brentford midfielder, whose future is yet to be decided.
The Dane has made a good impression since returning to the pitch after suffering a cardiac arrest during the Euros, with his all round play and professionalism instantly lifting the Bees throughout the second half of the season.
Brentford confirmed they have opened talks with Eriksen, who has created four assists in his short spell in West London, and hope to extend his stay beyond this summer.
Tottenham are also reportedly interested in a sensational reunion with the player.
But Neville says he should look at Liverpool, as he would be a good signing for Jurgen Klopp’s men and the way they play.
The Sky Sports commentator told Metro: “I think Eriksen will be picked up by a big club.
“But okay, maybe he’s showing loyalty, because of what Brentford has done for him.
“But listen here, if you’re a top six club that has a three-man midfield, they’re looking for a player who will be able to come in and play 30 games as a squad player ... he will be able to play for Manchester City, he will play for Liverpool.
“He will be able to play for all the teams in the top six in this country.
“I’m not saying he would start inside every week, but he would be able to enter.
“Keep in mind what Shaqiri delivered for Liverpool in two to three years.
“If Liverpool are looking for a midfielder who will be able to replace, for example, Thiago, who tends to be injured, why not look in Eriksen’s direction?.
“Why should one not be interested in picking him up for two seasons where he will be able to deliver a job?.
“He’s terrific. He is amazingly professional, he is an excellent player and he has incredible quality in his ball game.
“Brentford played here [at Old Trafford, ed.], And yes, it was one of the matches that United won.
“But some of Eriksen’s passes in that match were of another world. At the time, I was just thinking about it ... but Liverpool need midfielders.
“They need quality people who can put the attackers on stage. And if we are to be fair, why not pick up Eriksen?”
Check out the latest Premier League transfer speculation below...
Brentford confirmed they have opened talks with Eriksen, who has created four assists in his short spell in West London, and hope to extend his stay beyond this summer.
5. Gunners ‘convinced’ of Tielemans deal
Arsenal are ‘convinced’ that they can complete a ‘bargain’ £25m deal for Leicester City midfielder Youri Tielemans this summer. (Mirror)
6. BOURNEMOUTH, ENGLAND - DECEMBER 11: Ben Brereton Diaz of Blackburn Rovers celebrates scoring the opening goal during the Sky Bet Championship match between AFC Bournemouth and Blackburn Rovers at Vitality Stadium on December 11, 2021 in Bournemouth, England. (Photo by Warren Little/Getty Images)
Blackburn Rovers are looking to cash in on striker Ben Brereton Diaz this summer, with Leeds United, Brighton, Nottingham Forest, and Wolves all in the running to sign him. (TEAMtalk)
7. Spurs interested in Soucek
Tottenham Hotspur hold a ‘very real’ interest in a £40m move for West Ham midfielder Tomas Soucek. (Claret & Hugh)
8. Howe wants Ake
Newcastle United manager Eddie Howe is a big admirer of Man City defender Nathan Ake, who has been told he can leave the champions this summer. (talkSPORT)