Jurgen Klopp is willing to let the winger leave Anfield but would rather he do so on a permanent basis.
Kent has been linked with Leeds and Rangers but the Championship club opted against a deal before the deadline passed for them.
Rangers boss Steven Gerrard is still keen on the 22-year-old but the Scottish Premiership side will struggle to pay the £12million wanted by Liverpool.
And former Scotland defender and Liverpool ambassador Gary Gillespie believes there is a double standard at Anfield as Harry Wilson has left for Bournemouth on loan.
Gillespie told the Daily Record: “The irony is that Liverpool let Harry Wilson go on loan to Bournemouth so that’s a strange one. He’s at a similar stage in his career, so I’m not quite sure what the difference is.
“Harry Wilson was pretty successful at Derby County last season and Ryan was a success at Rangers but I don’t see the difference between the two lads.
“Ryan is a good player and would certainly enhance Rangers’ starting XI but he’s a Liverpool player and they call the tune.
“It’s not as if he’s a Lionel Messi or a huge name who can force the issue as we’ve seen so often with superstars who play up and get their agents to agitate for a move.
“But after what he experienced with Rangers last season he’s at the age where he needs to be playing on a regular basis for a big club and not just for the Under-23s.
“Not many kids started at Academy level and reach the first team. Trent Alexander-Arnold has done it and Steven Gerrard did it before him.
“But you can stay too long at a club and I look at Alex Oxlade-Chamberlain and Theo Walcott who probably stayed too long at Arsenal.
“There comes a time where you need to make that move to regular first team football and sometimes you need to drop a level to come back up again.”
Gillespie believes Kent is too good to be in the Under-23s for Liverpool and thinks it is a shame for his career.
The 59-year-old explained: “I saw the Old Firm game at Ibrox where Ryan Kent was arguably the best player on the park at Ibrox in December.
“And then he scored against Celtic at Parkhead so it won’t satisfy him to go from that to playing in front of 150 people for the Under-23s.
“The boy is better than playing at Under-23 level which won’t do him any good whatsoever. Liverpool probably expected to sell him and have that money to spend on other players.
“It’s a little bit of a shame for him because he’s probably not good enough to get into Liverpool’s first team but they want money for him as opposed to letting him go out on loan.”
Kent netted six times and provided six assists for Rangers in 23 top flight appearances last season while on loan at Ibrox.