The former Liverpool defender has picked the 24-year-old ahead of West Ham United attacking midfielder Dimitri Payet and Arsenal goalkeeper Petr Cech.
“If Dimitri Payet, who had been inspirational for West Ham following his arrival from Marseille, had remained fit, he may well have won this category,” Carragher has written in The Daily Mail.
“The attacking midfielder was the architect of West Ham’s eye-catching early wins at the Emirates, Anfield and the Etihad Stadium and made his £10million fee look great value.
“Petr Cech, who swapped Chelsea for Arsenal for a similar price, has brought improvement to Arsene Wenger’s side and will continue to make them better.
“Kante, however, has been just as influential as Mahrez and Jamie Vardy in Leicester’s rise to the top and another feather in the cap of their scouting department.”
Kante joined Leicester from Stade Malherbe Caen in the summer transfer window and has been one of the best players in the Premier League so far this season.
The Frenchman has scored one goal and created 16 chances in 17 league games so far this season.
The former US Boulogne star has a pass accuracy of 82% and a shot accuracy of 33%, and has won 14 headers, 13 dribbles and 49 tackles.
Payet moved to West Ham from Ligue 1 giants Marseille in the summer transfer window.
The France international midfielder has been injured since early November, but until then he was arguably the best player in the Premier League.
The 28-year-old has scored five goals and created 46 chances in 12 league appearances so far this campaign.
Payet has a pass accuracy of 82% and a shot accuracy of 65%, and has won one header, 28 dribbles and seven tackles.
Cech moved to Arsenal from London rivals Chelsea in the summer transfer window and has been one of the best goalkeepers in the Premier League so far this term.
The Czech Republic international goalkeeper has kept seven clean sheets in 17 league games this term, making 2.41 saves per game and 3.73 saves per goal on average in the process.