If you have a written lease, it is considered to contain the entire agreement between you and the landlord. Anything that was orally agreed to but not contained in the lease is not enforceable unless both parties admit to having made the agreement. (This is a basic rule of contracts.)
In other words, if the landlord does not admit to saying you could move out at any time, then you will be responsible for the rent until the end of the lease (unless the landlord rents the apartment to someone else.)
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