Absolutely, you're on the right track! Windows 11 does indeed support both DirectX 12 and DirectX 11. This means your games that require DirectX 11 should run without any hitches due to compatibility issues. To ensure you're getting the best performance, I'd recommend keeping your graphics drivers updated as they can significantly impact how well DirectX features are utilized in games.
Also, sometimes specific game settings or patches optimized for newer operating systems can originate a difference. It could be worthwhile to visit the game developer's website or user forums for any recommendations specific to Windows 11.
Lastly, tweaking some of the system settings related to gaming on Windows 11 might help improve your overall experience. For instance, enabling 'Game Mode' and ensuring that 'Hardware-accelerated GPU scheduling' is turned on if your hardware supports it could provide a smoother gameplay experience.
Happy gaming!