Both Manchester clubs lead the way with 19 points, while Tottenham, Chelsea, Arsenal and Liverpool are already playing catch up.
In goal, Carragher opted for David de Gea, the Manchester United and Spain 'keeper widely considered to be one of the best in the world and arguably the best in the Premier League.
Marcos Alonso is the first of the Chelsea players to appear at left-back, while his team-mate Cesar Azpiliceuta and Tottenham duo Toby Alderweireld and Jan Vertonghen make up the rest of the defence.
While the Gunners did win the FA Cup last season for a record 13th time, Dalglish feels the north London side have fallen behind their rivals. The latter Carragher believes will be a future Player of the Year victor following his impressive start to the season.
"Alongside him his mate wasn't far behind him, Vertonghen".
"His Chelsea team play a slightly different system with three at the back, but Azpilicueta has to go in there as he is one of the best defenders in the Premier League".
Centre midfield: N'Golo Kante (Chelsea)'The defensive player in the middle.
Manchester City, Chelsea and Manchester United have all dominated the Premier League title between them since 2013 - albeit for Leicester's fairytale triumph - despite United having struggled initially when Sir Alex Ferguson retired. "I think he is going to be a future Player of the Year contender".
Tottenham have some wonderful players, such as Harry Kane, Christian Eriksen and Hugo Lloris, and the fans will certainly expect the team to challenge for the league title this season.
"It's not easy in the Premier League with competition from Romelu Lukaku, Alvaro Morata, Sergio Aguero, but I am going to go for Harry Kane", he wrote.