The midfielder made his return from injury in the recent win over Sturm Graz.
The Hoops midfielder made a much-anticipated return to the side on Sunday as they took on Austrian side Sturm Graz.
He came on as a second half substitute in the clash, which his team won 1-0 courtesy of Ryan Christie’s goal 10 minutes before half time.
The win was Rodgers' first since taking charge of the club, and coupled with Brown’s return from injury, it proved to be a pleasing evening overall for the new Celtic manager.
And commenting on Brown, he admitted that his man is someway off in terms of fitness but says he is a wonderful captain nonetheless.
“He’s obviously away off in terms of his fitness but he’s very determined and he’s a wonderful captain,” he told celticfc.net.
"He’s a good guy to have around and he’s worked very hard so it was just about introducing him back into it.”
Rodgers' comments appear to suggest that Brown will be remaining as his captain at the club for the foreseeable future.
The former Liverpool boss may have been keen to make changes at the club this summer and changing the captain could have been one he would look to make.
However, these comments suggest he has been impressed by what he has seen in Brown and will be sticking by him for the time being.