Lambert and Villa have been subject to heavy criticism lately after a terrible run of form that has seen them drop to 17th in the Premier League, coupled with a shock upset at the hands of League Two Bradford.
However, Lambert thinks he can turn the Villans' fortunes around by instilling more grit in his side's performances, with a trip to Millwall in the FA Cup the next game up.
"We have to start earning the right to play," he told the club's official website.
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"You have to - I don't think we are ever good enough to say we are going to play a certain style of football.
"We are not good enough to do that yet. You are going to have to earn the right to play against teams and compete against them.
"If ever there is a time to earn the right, it's just now.
"There is only one way to do it - you have to fight like hell and win a few games. But there are a few other clubs in the same category who will probably be thinking the same.
"You are going to have to fight like anything to do it."
The 43-year-old Scot is keen to draw a line under their disappointment in the cup, but cannot deny the pain the club felt following their exit from the competition.
"I'm not sitting here thinking this is brilliant, this is great, this is acceptable," he added.
"You relive it a lot of times, the hurt and despair of getting knocked out, that's the reality of it.
"But there is a point when I've got to try and let it go but at this moment it is still not a great feeling."