"Manager Steve Bruce has held informal discussions regarding the England vacancy, although no official approach has been received from the FA," the club said on its website (www.hullcitytigers.com).
"We would hope to see the FA conclude their business quickly in order to avoid further speculation regarding Steve ahead of what is a season of huge importance for the Club following our return to the Premier League."
Former England manager Roy Hodgson quit after his team suffered a humiliating exit from Euro 2016 at the hands of Iceland in the last 16.
The FA has also approached Sunderland manager Sam Allardyce, who is being tipped as the favourite to succeed Hodgson by British media.
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United States manager Juergen Klinsmann, Bournemouth's Eddie Howe and former England manager Glenn Hoddle are among those who have also been linked with the job.
(Reporting by Ian Rodricks in Bengaluru; Editing by Amlan Chakraborty and Pritha Sarkar)
