回复：谢谢信息！问题是我们当时头脑简单，就口头通知了对方一下，没

要看您當地的法令，如果老貓記得不錯，紐約州允許承租人以口頭通知後再以書面認證，您的情況應該可以適用這種情況。
相關的規範如下

A rental agreement establishes a tenancy for a short period of time, usually one month. A month-to-month rental agreement is automatically renewed each month unless you or your tenant gives the other the proper amount of notice (typically 30 days) and terminates the agreement. You may increase the rent, change other terms of the tenancy, or terminate the lease on relatively short notice (usually 30 days) -- unless local rent control ordinances specify otherwise.

所以您的情況"如何您的房東表示已經了解您將於一個月後停止租用他的房子"，您就有理。

以下這篇文章應該對您有用
(資料來源: http://realestate.findlaw.com/articles/2287.html

Written and Oral Lease Agreements Pros and Cons

Q : What are the advantages of a written lease?

A : The chief advantage of a written lease is the landlord's right to hold the tenant to pay rent for the entire duration or term of the lease.

The tenant may also have an advantage, in that the landlord cannot raise the rent beyond the amount specified in the lease during the term of that lease. There is no evidence, however, that landlords with oral leases increase rent more often than landlords with written leases. Furthermore, since most standard lease forms are written by attorneys who work for landlords or the real estate industry, the slant of the lease is usually in favor of the landlords.

Q : What are the advantages of an oral versus a written lease?

A : For tenants with an oral month-to-month agreement, the major advantage is the ability to terminate the lease and move out without further rental liability with only a short notice to the landlord. The notice usually must be the same as the term of the agreement, commonly 30 days. Tenants are very mobile (20 percent move each year) and the ease of moving can be an important consideration.

For landlords, an oral lease provides an easy way to terminate the lease and make the tenant move out with only a short notice, or to raise the rent. The landlord is usually not required to state a good reason for the termination, as must be done in other cases.

Q : What are the disadvantages of a written lease?

A : The major disadvantage for the tenant is that the landlord may write in express provisions that void certain protections that the law ordinarily gives to the tenant. Also, in most written leases the landlord's responsibilities are not very well spelled out.

Q : What are the disadvantages of an oral lease?

A : Because nothing is written down, the major disadvantage is the possibility of misunderstandings between the landlord and the tenant about the conditions of the tenancy.