The Germany international is available on a free transfer in the current window after Meyer’s contract with Schalke expired at the end of June.
The 22-year-old has been attracting interest from a host of top European clubs given his promising reputation following six seasons in Schalke’s first-team.
Meyer has been linked with a potential move to Arsenal given the north London side’s recent history of signing players from the Bundesliga.
Furthermore, Arsenal brought in Bosnia international Sead Kolasinac in a free transfer from Schalke last summer.
However, the Gunners’ Premier League rivals Liverpool FC have also been linked with Meyer given German head coach Jurgen Klopp is rumoured to be a fan of the German star.
While Parlour doesn’t consider Meyer as a player who merits a starting spot at the Gunners, the former Arsenal midfielder believes the Germany international would be a good squad player.
“I don’t think Max Meyer is a necessity because Arsenal already have lots of attacking options,” Parlour told bWIN.
“We’ve never struggled to score goals and create goals. We’re great to watch.
“However, he’s a great player and you have to be interested in these types of players if they’re available and you want to be a big club.
“It’s a long hard season and Max Meyer may well be needed if [Mesut] Ozil or Mkhitaryan dropped off the pace.”
Arsenal signed experienced Switzerland international Stephan Lichtsteiner in a free transfer from Serie A giants Juventus.
The Gunners have also brought in Bayer Leverkusen goalkeeper Bernd Leno, Greece international Sokratis Papastathopoulos, Sampdoria midfielder Lucas Torreira and French teenager Matteo Guendouzi.
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