The 53-year old revealed that discussions had been held with the Serie A club over the former Manchester City man but insisted he was considering several other options.
"Yes, enquiries have been made, but as with so much stuff that gets into the public domain, it is enquiries," Hughton told Sky Sports. "We have made similar enquiries about numerous players."
Regarding Garrido, the Canaries' boss said: "He is one we are aware of. I can confirm there has been some contact between the two clubs and he is a player we do like.
"When there is something concrete and official to be said we'll say it."
Bunn could add competition for England international John Ruddy and Hughton conceded that the goalkeeper could use some back-up.
"It is an area that I would like to bring in someone and that is not detrimental to the two young keepers we have got here," he added.
"We will look at the opportunity to get one of them out on loan to get valuable experience."