Is a man permitted to ask his wife to wear specific clothes at home, such as what European women wear, in order to satisfy his desires and keep his gaze modest?

There is no harm in your wife wearing the clothes European women wear, in order to fulfill your desire and protect your gaze, as long as this is within the home and no one else sees it. Wearing European clothes does not constitute imitation of them, as long as these clothes are not exclusive to them such that they have become a symbol of disbelieving women.