Why does George Washington support the Constitution? To what does “a Constitutional door is left open” refer?

President Washington was in favor of a strong national government.

http://www.mountvernon.org/research-collections/digital-encyclopedia/article/ratification-of-the-constitution/

He especially pointed to the Constitutional Amendment process to make changes as necessary.

http://books.google.com/books?id=A0YMCgAAQBAJ&pg=PR18&lpg=PR18&dq=a+Constitutional+door+is+left+open%E2%80%9D&source=bl&ots=hYJMmXlezD&sig=5XTZafGKWY-iMAn2ZgktCb1av2E&hl=en&sa=X&ved=0CFAQ6AEwCWoVChMIte_cvavCxwIVg1w-Ch2L3gQg#v=onepage&q=a%20Constitutional%20door%20is%20left%20open%E2%80%9D&f=false

George Washington and the Constitution:

http://www.shmoop.com/george-washington/constitution.html

As to the quotation, who said it and when?

George Washington supported the Constitution because he believed it was necessary for the success and stability of the newly formed United States of America. The Constitution provided a framework for a strong central government, while also protecting individual rights and balancing powers between the different branches of government.

The phrase "a Constitutional door is left open" refers to the flexibility and adaptability of the Constitution. By leaving room for interpretation and amendment, the Constitution ensures that it can be applied to changing circumstances and contexts over time. It allows for the possibility of growth and evolution, so that the government can continue to meet the needs and challenges of a changing society while still upholding the principles and values on which the nation was founded.