And Coleman also suggested that he may have a tenner on the Swans to win at Manchester City on the opening day of the season.
Speaking via the Swans official site when told that the odds for that opening win were as long as 12-1, Coleman said "I'll have a little tenner on that.
"It's not out of Swansea's reach to get three points up there, I think Swansea will surprise a lot of people this season.
"Brendan is a shrewd cookie, he's clued up, he knows he'll have to improve the squad and he needs the investment to do that.
"I don't think they need to change their style of play, but they maybe need to be a little bit tighter than they are," said the former Wales international, who is now in charge of Greek outfit Larissa.
"Swansea are similar in style to Blackpool, but they're a better team than Blackpool.
"They've got a lot more steel about them — they're better defensively.
"Ashley Williams is playing in the Premier League now, but he could have been playing there a couple of years ago.
"He's good with the ball, quick and strong.
"Swansea as a squad have got better players than Blackpool, they're tighter and better in possession.
"In the Premier League they won't have as much possession as the Championship and a lot of teams will play the same way.
"They'll have to be organised out of possession and get men behind the ball.
"But there's absolutely no reason they can't be successful."