The former defender wants more forward thinking at the Emirates Stadium and revealed that he offered to join the board, an approach that fell on deaf ears.
"It's time that Arsenal won something again, even the FA Cup or Capital One Cup, but I can't see it, to be honest," Adams told The Sun.
|10/1||Arsenal are 10/1 with Bet365 to win the Premier League
The ex-England international was frustrated by the appointment of Sir Chips Keswick as the north Londoners' new chairman earlier in June, feeling that he would have been a better choice.
Adams noted: "Chips is a great guy but not a very imaginative choice by the owner and he is 73.
"If they just wanted a figurehead, they should have gone for me. It would have been a better visionary decision than Chips."
With manager Arsene Wenger's contract due to expire next summer and Paris Saint-Germain having repeatedly chased him, the former Gunner believes that more effort should be put in to identify his eventual successor.
"They should be lining up the new manager," he argued. "[Chief executive] Ivan Gazidis is in a tricky situation and could do with some help."