Looking on the internet deeply has found these results:

thanks for information is the most popular phrase on the web.

thanks for informing 1308,000 results on the web	thanks for information 136,800,000 results on the web More popular!
Some examples and use cases from the internet:	Some examples and use cases from the internet:
It doesn't look like this phrase is very popular! The search could not find any examples on the internet.	Thanks for the information on time. Thanks for the information when you were trying to catch me. I found that so useful. Thanks for the information that helped me find the path to follow. Commissioner de Palacio, first of all my thanks for the information provided. Many thanks for the information!!! ... Thanks for the information About versions. Thanks for the helpful information that your website provides. Many thanks for that information, Mr Wurtz.

thanks for informing

1308,000 results on the web

thanks for information

136,800,000 results on the web

More popular!

It doesn't look like this phrase is very popular! The search could not find any examples on the internet.

Thanks for the information on time.
Thanks for the information when you were trying to catch me. I found that so useful.
Thanks for the information that helped me find the path to follow.
Commissioner de Palacio, first of all my thanks for the information provided.
Many thanks for the information!!! ...
Thanks for the information About versions.
Thanks for the helpful information that your website provides.
Many thanks for that information, Mr Wurtz.