Webnovel Author: bobthewriter - Fanfic Collection

No worries the novel would still be interesting and he will be back in Harry potter world after few chapters.

I think in books only Voldemort and Snape could fly without any external aid and it hasn't been explained in too much depth. So, I feel there isn't a direct way to fly in Harry potter and also mc isn't at that level right now with magic proficiency.