Adams feels the players such as Sol Campbell or Patrick Vieira should have stayed at the club in some capacity. Instead, only Cesc Fabregas, Robin van Persie and Philippe Senderos are survivors from when the club last won a trophy, back in 2005.
He said: "The continuity wasn't there. We all left together. If there was one or two, maybe Ashley Cole or Sol, to educate the current group with what the past did.
"Manchester United have done that. From the Beckham era, one at a time they have left and they still have Gary Neville and Ryan Giggs. We all went together.
"The new squad is very talented but sometimes I think they lack a bit of direction."