"I've been watching Aaron since he was 14. He can be anything he wants to be in the game," said Flynn.
"At this stage, this age, he is as good as Cesc Fabregas. I see him as a top-six Premier League player and a top international player anywhere in Europe.
"He is quite something, and I can compare him to one of the best youngsters in the world in Fabregas.
"He is very close to being a senior international but we want him to help the under-21s first.
"He even speaks Welsh, he ticks all the boxes."
Former Wrexham and Swansea boss Flynn - who was a young star himself with Burnley and Leeds - added of Ramsey: "He could have gone to Manchester United, and he was very impressed with David Moyes at Everton.
"He had a great choice but he has chosen well. Arsene Wenger will look after him well there.
"He is in a good group of youngsters there and Wenger has a track record of producing huge talents. Ramsey will be a star at Arsenal."