Can I put my monitor on my Xbox without problems or via the fan?

I know it's really a stupid question in itself but I'm not sure if it could break or not. Fans are also mounted on the side

If fans are blocked up there, especially in summer, they can be damaged by excessive temperatures

I would not recommend you as you would damage your console over time.

Remember: never put anything on your console or connect an external fan!

I would rather not do it because the xbox could be damaged.