The Canaries chased Hooper on deadline day and are believed to have put in four bids for the forward.
It is thought that Norwich made a final bid of £9.4m for the 25-year-old, but that was rejected by the Scottish side.
"We put substantial bids in," said Hughton.
"But he is a Celtic player and it is clear from their valuation that they did not want to sell."
Hooper moved to the SPL side from Scunthorpe for £2.4m in 2010.