Forrest has been playing well for the Hoops this campaign and has established himself as an important player for the Glasgow giants.
The 26-year-old winger, who has been on the books of the Bhoys since 2002, has been scoring goals and creating chances.
Former Celtic striker Sutton has been impressed with the performance of the Scotland international winger.
The former Chelsea striker has also praised Celtic midfielder Scott Brown, who remains one of the best players in the Scottish Premiership and is a key figure in the current team.
Sutton wrote in The Daily Record: “James Forrest has been sensational. He has added vital goals to some stunning performances and he’s got the look of a Player of the Year.
“Vying for that title with him would be Scott Brown who has been another constant with the way he drives the troops.”
Celtic are going strong in the Scottish Premiership at the moment and look set to win the league title with ease.
Brendan Rodgers’s side are also favourites to lift the Scottish Cup and the Scottish League Cup this season.
The Hoops have dropped to the Europa League from the Champions League group stage this season this campaign as well.