The captain would have made the decision himself. But he would have involved others in his decision making process. He would have called company, spoken to maintenance, company could have spoken to Airbus, and relayed it back to the captain.
At the end of the day the captain made the decision to continue after taking in information from many different sources. Whether or not it was the right decision to continue is not knowable, we are not privy to all the facts. But the fact the captain chose to involve the company in his decision making process shows that this captain is probably one of the better ones out there.