Penalty for the extension of a tenancy contract

Dear Sir/ Mam,

I am staying in Sharjah. We stayed in the same flat for the last 2 years. Our contract is ended on May 5th. But as we are migrating to another country we requested our landlord to stay here till June end 2 months back. He agreed to the same at that time.

Now he is asking to give 3 months more rent from June as a penalty to settle the things. Our contract already finished now.

Please advice what to do as we are not in a good financial position to give 3-month rent without staying.