Ferdinand did not wear the t-shirt to support the battle against racism in protest at what he sees as a lack of action from the organisation since two racism storms last year, one involving his brother Anton.
Carlisle told BBC Radio 5 Live: “We will definitely monitor the situation very closely and make sure Rio Ferdinand’s rights as a human being, never mind as a footballer, are not undermined in this position.
“Everyone has a right to free speech – just like you can’t coerce anyone into shaking hands, you can’t make somebody wear a T-shirt – although I do personally believe that joining in with the campaign is the best way forward.”