The 31-year-old midfielder is keen to leave the club after seeing his first-team chances limited this season under manager Chris Hughton.
A statement on the club's official website read: "City can confirm Irish international midfielder Wes Hoolahan has today submitted a transfer request which has been rejected.
"The board of Norwich City has stated clearly no senior players will be sold against the club's wishes and Hoolahan, 31, is contracted to the club until June 2015.
"The club will make no further comment at this time."
Hoolahan joined the Canaries in June 2008 from Blackpool.