Some people say that it should have been Obi-Wan to find and discover Anakin. Personally, for me, with the way Ben describes how he came to know Anakin, I would say there's nothing wrong with Qui-Gon finding and training Anakin. Ben never says he discovered Anakin, and by saying "he was a good friend" doesn't imply that he spent every single second with him, or even liked him at first. I have people that I didn't like at first, and yet I call them good friends. I'm just saying - I see nothing wrong with Qui-Gon finding Anakin in TPM, and as it goes, by the end of the movie, Obi-Wan believes in Anakin and desires to train him.