The new Owls recruit was also linked with moves to Celtic and Norwich City.
Speaking to the Yorkshire Post five days on from his free transfer move to Hillsborough, Fletcher admitted to receiving "a few phone calls" over the summer, after it was made clear his Sunderland contract would not be renewed.
The Scotland international spent the second half of last season on loan to French giants Marseille, but says had no qualms about dropping down to the Championship.
Carlos Carvalhal's side, who finished 13th the previous campaign, went against many people's pre-season predictions to reach the play-off final at Wembley, where they narrowly lost 1-0 to Hull City.
The Owls' new-found style earned them plenty of new admirers throughout the course of the season - which also saw them knock Arsenal out of the League Cup - and Fletcher it seems, was one of them.
"It is more to do with how well the club did last season and for me, it is a good opportunity," Fletcher told the Yorkshire Post.
"The way the manager has the team playing as well. I watched them a few times last season and liked the way they played and when I spoke to them they said all the right things for me and I was happy about it.
Owls head coach Carvalhal
"I had a few phone calls over the summer when I was away on holiday with my family.
"But Sheffield showed a lot of interest and when I finally came down to speak to them when I got back, I was happy with what they said and how they wanted to move forward with the team.
"It wasn’t really a hard decision."
The 29-year-old, who has also played for Hibernian, Burnley and Wolverhampton Wanderers, has agreed a contract until 2020 at Hillsborough - which gives him plenty of time to get the club's name right!