The 16 year-old scored in Saturday's win against Everton.
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Terry said on TikTok: "Max Dowman what a player by the way. 16 years of age, almost 17, absolutely incredible.
"I watched him play against Chelsea about a year ago, and I've not seen anybody glide past people like this man does other than (Lionel) Messi.
"That's a big, big comparison but this guy is a proper talent and will play a big part in Arsenal's future and also England as well. But a super, super talent - and a big win for Arsenal."