The Juventus star has been linked with a number of Europe's elite clubs.
The Gunners have changed their transfer strategy in recent years, following a long period of them spending frugally as the likes of Manchester City spent big on players.
That all changed with the big money signing of Mesut Ozil, and was followed by the capture of Alexis Sanchez from Barcelona before the beginning of last season.
They didn’t spend big last summer to secure Petr Cech from Arsenal, but Collymore believes they should do to secure Juventus star Paul Pogba at some point in the future.
“If I were Arsene Wenger I’d break Twitter, the Internet and the Emirates bank vault and pay a record fee for Paul Pogba,” he wrote for Boyle Sports.
“If this 10 year Arsene project of youth and promise plus the odd marquee signing is going to have some tangible reward then start with one of Europe’s brightest young players.”
“[He’s] a great natural fit, a great player and fit to stand in a central midfield that was once home to Patrick Vieira.”
As Collymore says, it would not be easy to get Pogba with Juventus only likely to sell for an astronomical fee, and that would be a reluctant sale to say the least.
Every big side in Europe, especially those with money to spend, are sure to be keen on his signature as well, with the Gunners down the pecking order compared to the likes of money Real Madrid, Barcelona, PSG or Manchester City could offer, with those clubs likely to offer higher wages too.
Securing him would certainly be a game changing move though, and go a long way to showing that Arsenal are intent on becoming a real force in world football now and in future.