Its literaly in the title

Izuku Midoriya wants to be hero, but he has a dangerous quirk called All For One, and when he accidentally steals Katsuki Bakugo's quirk, he is turned on. Distraught, Izuku speaks to his dad, who offers to take him to America with him for the time being. Izuku leaves Japan for 10 years, but even with being gone for all that time, he still dreams of becoming a hero, so after 10 long years and some new quirks, he returns so he can attend U.A and make his dreams a reality. But a run-in with a villain and your favorite hero will change his already crazy life forever. Rivalries reignighted and bonds lasting a lifetime are the results. [I don't own any MHA characters or the cover art]