Where should I look in the settings to remove the green background highlighting for text within the backticks? I think it is related to HTML in non-HTML files, probably it has nothing to do with quotes or backticks. I've been searching through settings the best I could.
I finally found the answer. I'll let this stay in case anyone else wonders.
Editor -> Colors & Fonts -> General -> Injected language fragment -> Uncheck background on the right side panel
Cheers