Norwood has one more season left on his Huddersfield contract and wants to know where he stands before the next campaign.
The 23-year-old, who signed for the Terriers in 2012 after leaving Manchester United due to a lack of opportunities, was linked with Celtic in the January transfer window but the move did not materialise.
Norwood, who is away on international duty with Northern Ireland, impressed for Huddersfield last season, scoring six goals in 46 appearances.
Neil Lennon's departure from Parkhead means a second Celtic enquiry is far from certain in the close season and the player now wants to know Huddersfield's plans for him.
"There was a bit of interest from Celtic, I think," said Norwood. "It was flattering to be linked with such a big club, but there's nothing solid at the moment. I've only got a year left on my contract so it's up to Huddersfield to show their hand or not.
"I've a year left and I'll do as well as I can as long as I'm there.
"If we can be more consistent, there's no reason why we can't reach the play-offs next year.
"But we'll see how it goes in the summer but it's up to the club to decide what they want to do."