Hi,
You can try Amit Bajaj's method in another thread which has fixed the same problem for several users:
Check if the default Form Templates option in appearing under View all site contents page. If it is not enabled by
default, then you can follow this following steps.
If "Office SharePoint Server Enterprise Site Features" is enabled but we don't see the default "Form Templates" on the "View
all site contents" page, then you should use the following steps.
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Make sure they have backup of everything.
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Opened the site http://<your site url> in SharePoint Designer.
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Select the root URL and click FILE >> NEW >> SharePoint Content
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Choose Document Library >> Form Library
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Under options type the name as FormServerTemplates and it will create the content.
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Now right click on FormServerTemplate and open Properties
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On settings Tab change the name to Form Templates and uncheck the option Use a template for new documents
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Click OK
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Now you should see Form Templates on the view all site content page.
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You should be able to publish the InfoPath form with "Enable this form to be filled out by using a browser."
Reference:
https://social.msdn.microsoft.com/Forums/en-US/c9617953-a54c-44ec-86cf-df215c750c18/this-form-template-is-browsercompatible-but-it-cannot-be-browserenabled-on-the-selected-site?forum=sharepointcustomizationlegacy
Since this issue is more related to SharePoint, if above steps doesn't resolve the problem, I'd recommend you post your question in the following forum for further assistance:
https://social.msdn.microsoft.com/Forums/en-US/home?forum=sharepointcustomizationlegacy
The reason why we recommend posting appropriately is you will get the most qualified pool of respondents, and other partners who read the forums regularly can either share their knowledge or learn from your interaction with us. Thank you for your understanding.
Steve Fan
TechNet Community Support