Paul was given office by Christ. He didn’t succeed anyone, per se. But Christ still demanded an intermediary to lay hands on Him - that being Ananias. Jesus could have restored Paul’s sight immediately, but the opening of his eyes was both a physical and spiritual healing, as well as his commission to be an apostle of the Lord. And this occured by the laying on of hands by Annias - the gesture of passing on the Holy Spirit which came to the Apostles. This line has not been broken in either the Catholic or Eastern Orthodox churches. Every bishop in either case has received the laying on of hands from a an unbroken chain going back to the upper room on Pentecost Sunday.
But Ananias wasn't an apostle and wasn't a bishop. So what happens to apostolic succession?
But there is no record of either Christ nor the Apostles having laid hands upon Ananias. So the break occurred there, and Paul wouldn't have been able to ordain the Presbyters that he did.