Hi Marian,
Thanks for posting your question here. If you choose either "Flat Rate Shipping" or "Calculated Shipping" in the International section in a Shipping Profile without selecting any specific international shipping services, the International selection will revert to "Will Not Ship International" as you have described.
However, you should be able to work around this fairly easily by selecting at least one international shipping service from the International Shipping Services section in your profile after selecting whether you would like to use calculated shipping.
Therefore, as long as you choose at least one international shipping service in your profile in addition to choosing either "Flat Rate Shipping" or "Calculated Shipping"for International, the international shipping details in your profile should remain intact.
I hope this helps. If you need any further assistance with your account, please feel free to contact our customer support team by mousing over the "Help" tab and selecting the "File Support Case" option.
-Mike