The 27-year-old’s future has been a source of debate in recent months after the Gunners reportedly retracted their contract offer following lengthy negotiations.
Ramsey has less than eight months to run on his current deal at the north London side and the Welsh star could leave for nothing next summer.
Chelsea FC and Liverpool FC have been linked with a potential swoop to sign the versatile midfielder given his contract situation at the Gunners.
Ramsey has also been attracting interest from some of Europe’s top clubs given his experience of playing in the Champions League.
Arsenal lost Jack Wilshere on a free transfer in the 2018 summer transfer window after the England international became a free agent and opted to move to West Ham.
However, the England star doesn’t want to see the same happen to Ramsey – and Wilshere has urged Arsenal to give his former team-mate a new deal and make the Welshman their club captain.
“For me he’s a future Arsenal captain,” Wilshere told the Islington Gazette, as quoted by the Evening Standard.
“I know he loves the club. It’s difficult for me to comment on because I’m not there but I do know he’s a great player – if it was me I know I would want to keep him around.
“He’s a great guy to have around. He’s been at the club so long and knows it inside out. If you look at what he’s done for the club too.”
Ramsey has played a key part under new Arsenal manager Unai Emery after the Spanish head coach replaced Arsene Wenger in the summer.
The Wales international started seven of their opening eight games in the Premier League to suggest Emery views the former Cardiff City man as part of their plans.
Arsenal signed Ramsey from Cardiff in 2008 after Wenger managed to see off competition from Manchester United manager Sir Alex Ferguson for the Welshman’s signature.
Ramsey has won three FA Cup titles during his 10 seasons at the north London side but he hasn’t won the Premier League or a major European trophy.
Arsenal are looking to improve upon their disappointing sixth-placed finish in the Premier League table last term.
MORE: Man United latest news
MORE: Arsenal latest news
MORE: Chelsea latest news
MORE: Liverpool latest news