"He's shown that he can strike a ball as well, he almost scored a second which was even better", Neville said on Sky Sports Monday Night Football.
Champions Chelsea and runners-up Tottenham unsurprisingly dominated the duo's team of the season selections, with Carragher and Neville in agreement over the inclusion of seven players.
"I think David De Gea is possibly the best goalkeeper in the world", added Carragher.
Gary Neville and Jamie Carragher have picked their teams of the season with some big talking points. We've spoken about the season Cesar Azpilicueta and David Luiz have had and one of the Tottenham centre-backs had to be in it.
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Mauricio Pochettino's side face Leicester on Thursday evening before travelling to Hull City, who have little left to play for, on the final day of the campaign and Kane will fancy his chances of getting on the scoresheet in both games.
The Belgium worldwide has scored 24 goals in 36 games in the Premier League this season, which is more than any other striker in the English top flight.
Carragher also suggested Manchester United would be wise to do all they can to keep goalkeeper David De Gea, as he offered up this glowing tribute to the Spaniard who is widely expected to move to Real Madrid this summer.
Elsewhere, Carragher chose Andy Carroll's stunning bicycle kick against Crystal Palace in January as his goal of the season, while Neville favoured Olivier Giroud's scorpion kick against the same side in the same month. "One of the players of the season, forget his age, he's been outstanding this season".
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They are now only sixth in the Premier League and can not make the top four, the normal route into the Champions League. Their exploits in cup competitions also saw them win the League Cup against Southampton in February.
"I went for Danny Rose at left-back".
"I've gone for De Bruyne because his quality in a wide position is far and above anyone in the league".
But the former Manchester United defender's attacking line up differed from Carragher's front three of Sanchez, Kane and Hazard with a front two of Diego Costa and Kane (a combined goal tally of 44).
David Silva, Dele Alli, N'Golo Kante and Christian Eriksen form the Liverpool legend's midfield, while Hazard drops back into Neville's and sits alongside Alli, Kante and Kevin De Bruyne.
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"They threw him up in the air, along with a number of other players in fairness, and it just seemed to be a thank you - I think they realised the job he's done".