Pukki is one of the most lethal forwards in the Premier League, scoring 11 goals before the campaign was placed in lockdown.
And while things didn't work out for the 30-year-old in Scotland, Hoops captain Brown wouldn't hesitate in resigning the hitman.
He said, "He was quiet at Celtic. He always worked hard and put defenders under pressure.
"But when he first came he didn't look like a natural goalscorer.
"When I see him playing with Norwich, he's obviously had that little bit more experience, he's flying.
"For a natural goalscorer, I would take Pukki because no matter what you always need one of them.
"He [Pukki] was quiet but a really nice man. Every morning he used to wear the same terrible adidas trainers.
"They were about eight year old... his barnet was shocking as well!
"When he played for us he didn't get that much game time, he didn't get many opportunities."