Ramsey scored one and created the other two goals for Wales in the friendly win.
"Aaron is going to be a great, great player and he will be one of the best in Europe when he is in his prime," he said.
"Like his Arsenal team-mate Cesc Fabregas did, he is developing well at such a young age.
"And I played for Wolves against him last week and he was probably Arsenal's best player as he has such a mature head for such a young player."
Ramsey was awarded the man-of-the-match honour despite playing less than an hour as fellow promising teenager Joe Allen had the difficult task of replacing him in the 57th minute.
"I've known him for years and from day one you knew this player was destined for great things," said the Swansea midfielder.
"And now he is coming of age for club and country."