The 27-year-old is out of contract at the end of the season and negotiations over an extension are continuing to drag on.
Ramsey has started three out of four matches under new manager Unai Emery, but played just 53 minutes against Manchester City on opening day and was dropped to the bench a week later in the loss to Chelsea.
And while Anderson understands Emery might not yet be convinced by Ramsey, he believes it would be in Arsenal's best interest to retain the talented playmaker.
"I personally like Aaron Ramsey," Anderson, who made over 120 appearances for the Gunners, told Tribalfootball.
"He's been a very good player for Arsenal over the years. I wouldn't want to be letting Ramsey leave. [But] it is the manager's decision. He's only just come into the club, he probably hasn't seen enough of Ramsey to have a view yet. Is he his type of player or is he not?
"But having seen him as many times as I've seen him over the years in the Premiership, he's one I would not be wanting to get rid of."
After months of speculation, the former was sold to Manchester United in January while Ozil was rewarded with a £350,000-per-week deal. Ramsey reportedly wants parity with his German teammate, although his representatives, Avid Sports and Entertainment Group, have publicly denied the claim.
And Anderson says that Arsenal should be wary in negotiations given Ramsey will have no shortage of suitors fighting for his signature.
He added: "If I was one if the top four clubs I'd be watching this space very carefully because he is the type of player most football clubs would want."
Viv Anderson MBE was speaking to Tribalfootball to promote the partnership between 'Playonpro' and 'REDSTRIKE'.