Meulensteen believes the Greece international could've joined a bigger club.
"Mitroglou has been on our radar for a long time,'' Meulensteen told the Telegraph. "While he was getting better and better, we started to think Mitroglou might now be out of our range. He becomes more a target of an Arsenal, for teams in the top four. There was a determination about our interest, it was genuine, and he appreciated that.
"His movement is so sharp and so clever. He has a range of finishes. He's there for the tap-ins and you see him in the Champions League - he hit one right-footed into the top corner.
"In tiny areas of space, he has that unpredictable element, that skill, to free himself up with a little flick, turn and move. Every good goalscorer has a bit of selfishness, a bit of authority, bite, and he has that but off the pitch he's mellow, the nicest guy.''