The Sky Sports pundit believes the Chelsea midfielder would fill a hole in Arsene Wenger's current squad.
The Chelsea midfielder, who rejoined the club he left for Benfica for a fee of £21 million, has become a regular in Jose Mourinho's side during his second spell at Stamford Bridge and has drawn heavy praise for his consistent performances.
Arsenal, by contrast, have been criticised for their lack of a top-class holding midfielder.
"I looked at the performance of Nemanja Matic this week for Chelsea and thought ‘how good would he be in an Arsenal shirt, giving the likes of Aaron Ramsey and Mesut Ozil the platform to go and play?’" Redknapp wrote in a Sky Sports column.
"Arsenal haven’t got anyone like Matic, with the power and physicality to go and get the ball back and stop other teams playing. That’s a position Wenger needs to try to fill before the window closes."
The Serb, 26, registered the third-highest amount of Premier League assists (4) for Chelsea last season, despite only moving to west London in January.
|Team||Pos||Won Tackle / apps||Interception Won / apps||Accurate Pass / apps||Aerial Won / apps||Effective Clearance / apps||Apps||Mins|
And, as Opta stats show, Matic also registered the second-highest amount of tackles won per game for Mourinho's men, impressing equally with his passing, interceptions, clearances and aerial duels won.
Arsenal have been linked with defensive midfielders Lars Bender and Sami Khedira this summer, although no bids have been forthcoming from the Gunners.
Would Matic be the perfect fit for Arsenal?