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.”
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Liverpool have unveiled their new home kit for next season, sticking with the hugely popular retro styling of the current shirt.
The reputation of the Premier League means it is the most popular and one of the most watched leagues in the world.