The Sunderland striker is on the radar of Scottish Premiership champions Celtic, according to The Daily Record.
Former Celtic striker Sutton believes that Fletcher will be a good signing for the Bhoys, but he has doubts whether the Glasgow giants will be able to meet his wage demands.
“With regards to Fletcher, he’s had a good career and is a good goal scorer who would offer Celtic more of a physical presence than Leigh Griffiths,” the 42-year-old wrote in The Daily Record.
“But there are no guarantees he’d come in and score and if he is on £60,000 a week, as has been reported, that has to be unrealistic. Maybe there could be common ground but you can understand Celtic’s reluctance.
“I don’t know whether Celtic have a wage limit. That might be a problem but Deila must want to bring players in who are better than what he has to improve the team. Is Fletcher one of those? Yes. But a lot of it comes down to the player.”
Fletcher is a good striker, but he is not prolific and is average according to Premier League standards.
The standard of the Scottish Premiership is, of course, not as high as the English top flight, but even then Celtic will be taking a risk, especially if they have to pay the former Wolverhampton Wanderers striker as much as £60,000 per week.
In the recently concluded 2014-15 campaign, Fletcher scored just five goals and created only 17 chances in 30 Premier League appearances.
The Scot found the target only three times and created just six chances in 20 league matches in 2013-14, although in the 2012-13 season he scored 11 goals and created 21 chances in 28 league games.