The Spaniard was named man of the match and scored the fourth as the Gunners recorded a 5-2 victory in the North London derby at the Emirates Stadium on Saturday.
Asked if the Arsenal players had come up with a nickname for their new talisman, Wilshere said: "Not yet. Maybe it should be Messi!"
Former Malaga man Cazorla was dubbed 'Paquirrin' (Fat Boy) in Spain because of his resemblance to a celebrity who goes by the same moniker.
When this was pointed out to Wilshere, he said: "Maradona then."
Arsenal host Montpellier in the Champions League on Wednesday.