The Bolton News says the midfielder helped the Welshmen beat Reading 4- 2 in Mondayâ€™s play-off final at Wembley to return to the top flight for the first time in 28 years.
Pratley is out of contract in the summer after failing to agree a new deal to stay at the Liberty Stadium.
Owen Coyle is a huge fan of goalscoring 26-year-old, who he has tracked for the last 12 months, and is leading the race to sign him.
But the Swansâ€™ historic achievement in becoming the first Welsh club to reach the Premier League â€“ and subsequent Â£90million cash boost â€“ could put the move in jeopardy.
The Bolton boss, however, is hopeful that the box-to-box midfielderâ€™s future still lies at the Reebok.