The 26-year-old full-back made 37 appearances in all competitions last season, contributing eight assists as the Tigers secured Premier League promotion via the play-offs with a 1-0 win over Middlesbrough at Wembley last month.
Giles remains under contract at the MKM Stadium until 2027, with an additional year’s option, though he is reportedly attracting interest from several Championship clubs.
Norwich are understood to be assessing a number of left-back targets in this transfer window as they look to strengthen that area of the pitch and avoid a repeat of last season’s injury problems.
The Canaries concluded the recent campaign with four recognised left-sided full-back options, but that group has since been trimmed.
Jeffrey Schlupp has moved on after being released, while Harry Amass has returned to Manchester United following the conclusion of his loan spell. Ben Chrisene and Lucien Mahovo remain at the club and are both contracted until 2028.
Versatile down the left flank, Giles has represented ten different clubs during his career, having come through the youth ranks at Wolverhampton Wanderers.
While at Molineux, he had loan spells with AFC Telford, Shrewsbury Town, Coventry City, Rotherham United, Cardiff City, Blackburn Rovers and Middlesbrough.
He left Wolves permanently in July 2023 to join Luton Town following their promotion to the top-flight but featured just 14 times for the Hatters before a loan switch to Hull in January 2024.
After an impressive six-month spell in East Yorkshire, the Tigers exercised their option to sign him permanently for a reported £4.25m.
Ryan Giles featured 37 times in all competitions last season for Hull (Image: PA)
However, the former England U20 international struggled for regular game time, leading to a loan return to Middlesbrough in January 2025.
The defender had hoped to make his move to the Riverside permanent, but later rediscovered his form back at his parent club under Sergej Jakirovic, establishing himself as one of the Championship’s standout attacking full-backs last season.
With 196 Championship appearances to his name, he was widely expected to be part of Hull City’s Premier League plans next term.
However, BBC Sport suggest the club may face a potential six-point deduction at the start of their top-flight campaign due to alleged Profit and Sustainability Rule breaches, with an overspend of around £6m.
As a result, they may need to raise funds through player sales before the end of June, putting Giles among the likely departures.