Coutinho arrived in January from Inter Milan.
Rodgers told the Mirror: "He might be slight in stature but he's still got real power and mental strength too, plus he's a wonderful technician.
"I don't think that there is any question that he can cope with the physical demands. He's a Brazilian boy so as well as all the technique, skill and flair; you also find that they are tough. There haven't been too many Brazilians that have come into this country and have not succeeded. They tend to be robust and when you mix that with their technical and tactical qualities, I think that a player like Philippe will be a great addition for us."