The Juventus manager has been heavily linked to replace Wenger if the Frenchman opts to call time on his 21-year reign at the end of the season.
Reports suggest that Allegri would be keen on a switch to Arsenal to succeed Wenger, but would prefer the Barcelona job with Luis Enrique stepping down from his position this summer.
But Galeone, who managed Allegri during his time at Pescara, has told the 49-year-old to take up the opportunity of building an ‘exciting squad’ at Arsenal should it become available.
Galeone told Italian publication Il Messaggero:
“It’s a historic club, managed by Arsène. Everything will hinge on his [Allegri’s] decision.
“It’s a traditional club and Max can build a young and exciting squad.
“There’s will be players there capable of adapting well to his style.
“He could still stay. Let’s see what happens in the Champions League and Coppa Italia, but I believe the time has arrived for him to leave.”
Allegri has reportedly a strained relationship with the Italian press and has also had disputes with several players, leading to speculation that he could be on his way out of Juventus at the end of the season.
Meanwhile, it’s believed Arsenal have contacted Allegri about the possibility of taking over Wenger, with the club also drawing up a shortlist of potential candidates which feature the likes of Ralph Hasenhuttl, Eddie Howe, Thomas Tuchel and Diego Simeone, but the Juve boss remains the frontrunner.