The former Liverpool boss was recently appointed the Celtic manager on a 12-month rolling contract.
Pleat has suggested that the Scottish Premiership giants have given Rodgers a one-year deal in order to see how he does.
The former Sheffield Wednesday manager has also said that Rodgers should not try to reinvent football like he attempted to at Liverpool.
The Northern Irishman always spoke of his strong passing and attacking philosophy when he was the Liverpool boss from the summer of 2012 until October 2015.
“One of the most interesting fits is the fact it is only a one-year contract with a one-year extension, which suggests to me that he is very much on trial, Brendan,” said Pleat on BBC 5 live Sport on Friday evening (May 20). “You have to do well this season or else you are not going to get another year’s money, thank you very much.”
“The only thing Brendan has to do is not pretend that he can reinvent football as he tried to do at Liverpool and put himself right on the blackfoot immediately by forgetting the wonderful late 70s and the marvellous football of the 80s when they passed the ball better than any team in the country,” added the former Tottenham boss.
Celtic have won the league title in Scotland for the past five seasons, and they will be favourites to clinch the Scottish Premiership during the 2016-17 campaign as well.
What Rodgers’s main priority will be is to guide the Glasgow giants back to the group stage of the Champions League next season.