Lambert has spoken to owner Randy Lerner and says the American tycoon is relaxed about the situation.
He said: "I've told him I don't want anyone to go. He just leaves it with me. He will ask my opinion on it and then leave it on me."
Asked if he would have the final say, Lambert said: "Yes , I'm pretty sure.
"You have to respect the chairman - it's his club. I will talk with him.
"The conversations I have had so far have been good."