The Northern Irishman is still surveying the scene after replacing Ronny Deila as Celtic boss last month.
With Rangers set to compete in the Scottish Premiership next term, and Aberdeen potentially coming back stronger, it is vital for Rodgers to make the necessary changes to an already suspect squad over the coming months as the Hoops chase a sixth successive top-flight title.
As far as top-class players go, the Hoops arguably only have two in the form of young left-back Kieran Tierney and striker Leigh Griffiths, who hit the 40-goal barrier this past season.
Everybody else will have to convince the 43-year-old that they're good enough, and McLeod suggests that captain Brown is in that list.
"The size of the Celtic squad has to be trimmed down - you can’t have 18 players sitting doing nothing week in, week out," he told The Mail.
"They have to make some money by getting rid of some of the players and being able to finance better quality. The manager has just got to make a decision on whether Scott Brown is going to play in the team. It’s all about his opinion."
Brown was club skipper under Deila and Rodgers has already confirmed that the 30-year-old midfielder will wear the armband under him, too.
But that does not guarantee him a first-team spot in the long term under Rodgers, who will have to be ruthless in order to succeed at Paradise.