The Latics owner says a deal has been agreed with the Scot, who he thinks can take Wigan out of the League Championship and back into the Premier League, following their relegation last season.
"Out of all the candidates who applied I just thought he was the best. He took Burnley to the Premier League," Whelan said. "If anybody can get us back in the Premier League, it's Owen Coyle."
Coyle's last managerial role was with Bolton Wanderers from 2010-2012, but the 46-year-old, who signed Americans Stuart Holden and Tim Ream at his time at Reebok Stadium, was sacked in December and replaced by Dougie Freedman.
Whelan will hope for happier times and sees Coyle, who led Burnley to promotion in 2009, the first time the club had achieved top flight status for 33 years, as the ideal man for the job.
In terms of the new season, the reigning FA Cup winner, which will also partake in the UEFA Europa League, will hope for a swift transition between managers, and both players and fans are expected to support the new manager.
Wigan midfielder James McArthur revealed his delight at the appointment, he wrote on Twitter: "Happy with the new appointment in Owen Coyle another scot. Hopefully everyone can get behind him and the team for new season."