Free hosting allowing GA

Do you know any free blogging platform like WordPress, Wix, etc, but I need it to allow code injections like Google Analytics/Google Search Console?

free hosting or free blogging platform?? Because they're 2 different things

If you mean free blogging platform I think blogger.com allows for adding analytics code. As a matter of fact, Wordpress allows it too, I don't know why you can't add that to your WP blogs...

If you mean free hosting I don't know then, as I never use free hosting. But you can contact and ask them... or check their FAQs....