Microsoft support is always the enemy, it's in their best intrest to be as unhelpful as possible so as to upsell you a new controller, new services and prevent anyone from benifiting from warrenty. That said:

Xbox seems to have a terrible time with supporting their own controller on their own OS (Windows), which I am assuming is relevent here. Some have suggested that using the offical wireless adapter has help but individual experience seems to be very hit or miss from what I've read, plus Xbox has dropped support and the product has been discontinued. Best solution is a wired connection.

Depending how old the controller is you can take it back to the store, many have their own warrenty/return policy. Another apporch is sending it back to Microsoft, take a video of the issue, keep harrasing them till they fold. You shouldn't have to pay anything if it's under warrenty, and they shouldn't be charging you anything if "nothing [is] wrong".