I've not followed Menez at Milan, but considering how he was used at PSG, Roma and French team, he may be labelled an attacking midfielder with best position being right* wing and secundary one behind the striker(s). At most he may be called a "forward", he's clearly not a "striker" (or he'd be rated a very average one, having scored less than one goal every 5 games in his carreer) and was especially not used as one at PSG where he was 90% of the time on right wing. (edit : <- late reaction to opening article, see it was already sorted out)
Out of that, I rather like the player who has impressive technique and tend to panic defenders with unexpected movements will the ball, but his work rate without / tendancy not to track back may be a problem in PL, if he hasn't changed since his PSG years. While he showed in some important games he has the ability to involve himself in pressing or defensive tasks, he has/had some annoying tendancy to be lazy and just wait for the ball to return to his area when less motivated.
(* there were some tries to use him on the left, but iirc he was very unefficient there)
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