He is yet to return to management, and Leeds have been through three head coaches since, Dave Hockaday, Darko Milanic, and most recently Neil Redfearn.
Speaking about his replacement Uwe Rosler, formerly of Wigan Athletic and Brentford, McDermott said that simply lasting in the role and fulfilling half of his two-year contract would be a positive step.
He also said that if Rosler is not given a chance then owner Cellino must bear responsibility for the situation.
Speaking to BBC Radio 5 Live, McDermott said: "I think the manager they've just bought in, if he's here this time next year, that's success.
"He's chosen a manager we know, who has done a good job in this country, you'd like to think they can all work together.
"If we're having the same conversation in three or four months time, the owner will have to look at himself."
Cellino is no stranger to criticism, but if his decision to appoint Rosler fails then his choice to get rid of popular head coach Neil Redfearn will look even worse.
The manager Cellino appointed last year, Dave Hockaday lasted just three Championship games, and his replacement Darko Milanic six matches, before he settled on caretaker boss at the time Redfearn who steadied the ship.
McDermott had also added that he felt it would be very hard for Redfearn to return to his old role as academy boss.