The former Premier League manager believes Arsene Wenger's side will be keen to prove they can beat Jose Mourinho.
The Gunners take on Jose Mourinho’s side in the season opener a week before the new Premier League season starts.
Many are predicting that Arsene Wenger’s side could be potential title challengers next season and the Charity Shield game will provide an interesting warm up game to see where both sides stand.
Wenger has never beaten his counterpart in the Premier League team though, but Redknapp is backing them for a narrow victory to prove they can beat a side managed by the Portuguese boss.
“Arsenal will want to win it if only for them to prove they can beat a Mourinho team,” he wrote on Kicca.
“I’ve got a sneaky suspicion Arsenal will do it. Their passing movement is quick and slick and I’d side slightly with them. Not saying they’ll finish above Chelsea in the league. Chelsea are a formidable team with a formidable manager.”
Arsenal still need a striker
And while he expects Wenger’s side to challenge next season, he still believes they are in need of a striker to improve their squad.
Many have said that the signing of Petr Cech has already taken them one step closer to a challenge as it has weakened one significantly weak area in their side, but suggest a top level forward is still needed.
There have been suggestions they may be planning a big money move for Real Madrid striker Karim Benzema. Whomever they may try to sign, Redknapp says it is still the one key area they need to improve.
“Arsenal have had a good pre-season, they’ve got a strong squad and will challenge,” he added.
“But I still think they’re short of a front man, that is the one key area where they need another player.”