Coutinho is Barcelona's top target to replace Neymar following the striker's world record move to Paris Saint-Germain.
Liverpool have already knocked back two bids - with the second reportedly around £90million - from the Catalan outfit, and if they would go all out against the player's wishes to leave remains unseen.
"It's hard now as he doesn't want to be there, Liverpool is one of the biggest clubs in the world but he doesn't want to be there".
Carragher is not pleased with reports surfacing that Coutinho, who is now absent with a back injury, is not getting on with manager Jurgen Klopp, believing they cross a line.
"I still think he will be at the club and I would keep him", he said on Sky Sports. "I think now, compared to three or four years ago, I can defend more, I can play more tactically, I can finish better than I could before", said Salah. Coutinho signed a new five-year deal with the Merseyside club in January that did not include a buy-out clause. Liverpool: Simon Mignolet: 5, Trent Alexander-Arnold: 6, Joel Matip: 7, Dejan Lovren: 6, Alberto Moreno: 6, Jordan Henderson: 6, Emre Can: 7, Georginio Wijnaldum: 6, Mohamed Salah: 7, Sadio Mane: 7, Roberto Firmino: 8.
It was further reported that this has led to a transfer request thrown in by Coutinho, who is hoping to switch to Camp Nou this summer. I played in Italy, I was in Switzerland, I came to England then I went back to Italy so it's a big change in my life.
Thoughts on Coutinho's future at Liverpool?
Compared to their Premier League title rivals, Liverpool's transfer business has been rather modest.
He has racked up 20 goals in exactly 100 Spanish top-flight appearances for the Catalunyans, though an up-and-down campaign last season has seen a number of outlets claim that the 29-year-old could be on the chopping block this summer.
The home fans taunted their counterparts with a chorus of 'Where is Coutinho?' as a reminder that they were not as threatening without him, and pointedly, that he feels he is too good to be playing for them.
Klopp's comments on the Coutinho situation were oddly cryptic, however. He was not in training since last Friday. "So, no, he is not available and is also a doubt - if he is not available for Saturday - for Tuesday, unfortunately".