Scotland international striker Fletcher scored eight goals in 35 Premier League games, and weighed in with four more in cup competitions.
The 23-year-old is only one year into a four-year deal at Turf Moor after becoming the club's record £3million signing when he moved from Hibernian last summer.
But despite relegation to the Championship and plenty of interest coming his way from Molineux and possibly Alex McLeish's Birmingham too, Fletcher has told the Lancashire Telegraph he is no hurry to up sticks.
"It's up to the clubs, if they can come to an agreement, but I've got three years left and I'm happy where I am," said Fletcher.
Meanwhile, Laws has admitted he is keeping tabs on former England Under-21 midfielder Marney, who played 17 times for the Tigers in 2009/10.
The 26-year-old has spent four years at the KC Stadium but is one of a number of players set to leave as Hull look to reduce their huge wage bill.
However, Laws insists he has not made a bid for the ex-Tottenham man.
"There's no truth in the rumour that we've offered £1million. I just don't know where that's come from," Laws told the Hull Daily Mail.
"Nothing has been done or said yet. All we have done is make enquiries about him and spoken to the club.
"He's one of a number of players we're interested in. We're just looking around."