The former Sunderland striker left his hometown club this summer after his contract expired.
The 22-year-old, who made a handful of appearances for the Black Cats, spent much of his time in recent years out on loan and enjoyed stints with the likes of Watford, Derby and Hartlepool.
Now Sky Sports understands clubs from the Championship, League One, League Two and SPL are interested in the former England youth international.
And Noble insists that football will be at the forefront of his thinking when it comes to choosing his next club.
"This is an important move for me, and I know I need to make the right choice," said Noble.
"I just want to get back to playing football and scoring goals."