The Frenchman has not started since Rodgers became manager in February and has been linked with a move away this summer.
But Rodgers insists Mendy has proven his worth.
"I really like him," said Rodgers.
"I think he has been unfortunate. It is all down to styles. I tend to play with one controlling defensive type player. Recently in some of the bigger games I have gone for two but even Hamza Choudhury has been playing more advanced.
"Papy is more of a holding player similar in the mould to Wilf, whereas Hamza can go and play further up. He gives us that pressing element.
"I think (Mendy) has a future but the style change... If you play with two controlling players he is great and I think he can do the role that Wilf has been playing and do it to a high level as well, but of course he hasn't played so much.
"He is a player who has been outstanding in training. He has got on with his work and respects the position he is in, and I am sure there would be interest in him, but our plan is to keep what we have and look to add some more quality."
Need a VPN? Or seeking to switch? Then support Tribal Football by clicking here to sign up with our official partners NordVPN. Not only will you receive the best VPN experience, but also great discounts by signing up via Tribal Football. Thanks for your support!