Antonio netted twice during the Hammers' impressive 4-1 home win over Leicester City on Monday.
He is now the club's all-time leading goalscorer in the Premier League, which was formed in 1992.
Di Canio's record stands at 47 goals in 118 appearances, scored between 1999 and 2003.
"I'm really happy for him, because he's a fantastic lad, a great professional and a really, really important player," Di Canio said as a pundit on Sky in Italy.
"Michail Antonio, congratulations. You deserved it, I'm happy and I'm hoping you can score many, many more because you are really good.
"You have an extraordinary, atypical physique. We always say that when a striker is built like that, he can be the team's whole forward line. I'm not saying he's the best player in the world, but no one else does it like him.
"He's not the static type of player that waits for the ball to come to him or comes towards it to hold up the play, he's the type of player who makes sacrifices and opens up the play across the whole width and depth of the pitch, putting pressure on the defenders with those runs in behind, and then running after them.
"He's really tough to shift and to move. Besides, he suffered with injuries in the past. I wanted to sign him at Swindon in 2011, when he was playing for Colchester United.
"Well, I really could see into the future - although at the time he was a strong and powerful winger, then he morphed into a striker as years went by.
"Really, really well done. I'm hoping for many more goals like those you scored last night."
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