Aaron Ramsey scored an extra-time winner at Wembley to defeat Hull City 3-2 and seal the Gunners' first trophy in nine years.
|10/1||Arsenal are 10/1 with Bet365 to win the Premier League in 2014-15|
"I believe football clubs are about balance and I don't think [Wenger]'s got the balance right," Adams told Sky Sports News Radio.
"He's got too many offensive players. Ozil was a fantastic signing and he's a super player but let's have some more at Arsenal and some more trophies.
"I do think that we've got a lot of those players - [Santi] Cazorla, [Jack] Wilshere, Ramsey and [Tomas] Rosicky has had a super season.
"I'd like to see two strong full-backs and maybe one more strong midfield player - Manu Petit or Patrick Vieira back in the day - someone to just sit in there and be a bit different."