Hull suffered relegation to the Championship last weekend after a 0-0 draw against Manchester United, meaning many of their players could seek immediate returns to the Premier League during this summer's transfer window.
One player who could generate some interest is centre back Chester, who played 28 games in all competitions for the Tigers this season.
The former Manchester United youngster, 26, has now earned five caps for Wales since switching his allegiance in 2014, and it appears that his performances at the KC Stadium have attracted interest despite Hull's relegation to the second tier.
The Daily Star believe that Aston Villa and Newcastle United, as well as West Bromwich Albion are tracking Chester, who could cost up to £4m this summer.
Villa's star defender Ron Vlaar is out of contract this summer and may need replacing, whilst Newcastle have been defensively poor throughout the campaign and may be looking for a younger defender to replace Mike Williamson alongside Fabricio Coloccini.
Given Hull's relegation, Steve Bruce may find it hard to keep Chester at the club if Premier League clubs do come calling - which now seems like a strong possibility this summer.