Rudd, who has now returned to his parent club, was one of Preston's most consistent performers in their League One season.
"We are keen on bringing Declan back. He's under contract at Norwich so we'll see where we go with that one," Grayson told the Lancashire Evening Post.
"We've offered Thorsten Stuckmann a new deal and Declan is something we'd like to do so that we have two very good goalkeepers here.
"Agreeing a deal with Norwich for Declan is something much further down the line. Norwich's season still has a couple of weeks to go and we have to respect that."
Rudd is highly regarded at Carrow Road.