The sentence is correct and usable in written English. You can use it when you want to encourage someone to ask questions or share their thoughts or concerns. For example, "Please feel free to contact me if you have any questions - I'm here to answer any question you might have.".
She had perfected the "I meant to do that" posture to answer any question you might have about her feelings regarding knocking something over or "missing her mark".
There are many good breeders on Facebook who will accept new friends and are happy to answer any question you might have.
Glad to answer any questions you might have.
I would be happy to answer any questions you might have.
He'll be able to answer any questions you might have.
Browser "Search" provides answers to nearly every question you might have about computers.
Here's a Volt FAQ to answer any other questions you might have.
When I feel like I can't trust my brain 100%, Ludwig really comes in handy. It makes me translate and proofread faster and my output more reliable.
Claudia Letizia
Head Translator and Proofreader @ organictranslations.eu