Erik ten Hag's side were 2-0 up inside the opening 13 minutes, thanks to clinical strikes by Bruno Fernandes and Kobbie Mainoo, only for Bryn Morris's spectacular, if deflected, drive to halve the deficit before the first half was out.
Moments after the break, Will Evans showed his predatory instinct by turning the equaliser past debutant Altay Bayindir and there was genuine concern of a huge shock.
Thankfully, Antony pounced on a rebound when Luke Shaw's shot hit a post to restore the lead, with his first goal of the campaign. And, in deep into stoppage time, Rasmus Hojlund got in on the act to seal the outcome.