John Hollins has applied for the vacant manager's job at Swansea City, and BBC Wales Sport understands that Mark McGhee is also a candidate.
John Hollins and Mark McGhee want to manage Swansea City
Former Swans boss Hollins has been out of club management since October after leaving Conference side Crawley.
McGhee, who managed Leicester in the Premiership, is looking for work after his three-year reign at Brighton and Hove Albion ended in September.
Former Wales striker Dean Saunders has also expressed an interest in the job.
And Roberto Martinez could be tempted to leave Chester City to return to the club he captained to League Two promotion in 2005.
Jan Molby, who spent a year-and-a-half in charge at Swansea a decade ago, has ruled himself out of the race but suggested Joe Royle would be the best man to succeed Kenny Jackett.
Former Leicester boss Micky Adams has also emerged as a front runner, but neither he nor Royle have so far thrown their hat into the ring.
Hollins would be a familiar face at Swansea, having guided Swansea to the Division Three title in 1999-2000 before being sacked in 2001 with the club back in Division Three.
"I'm very interested. I've spoke to most of the people who are involved and that's all you can do," Hollins told BBC Wales Sport.
Jackett stunned the club by deciding to step down on Thursday after nearly three years in charge.
Swansea chairman Huw Jenkins said Jackett told him he felt he had lost the support of the board, the fans and the players.
But Swansea captain Garry Monk said the squad is "devastated" by Jackett's departure, and surprised at the contention that the players did not fully support their manager.
I was grateful to Kenny for bringing me into the club. I felt a lot of loyalty towards him
Swansea captain Garry Monk
"He most definitely had everyone's respect and all the lads appreciated the hard work the gaffer put in with us on the training ground and the matches," said Monk, who was signed by Jackett in July 2004.
"Obviously there are going to be some disagreements from players who are not playing, but he definitely had the respect of every single player at the club.
"It saddens me he feels he didn't. Kenny knows better than I do on that situation but we feel we've let him down for him to feel like that."
He added: "I was grateful to Kenny for bringing me into the club and making me captain. I felt a lot of loyalty towards him.
"It's sad he's gone and it's hard to deal with. We've got Kevin Nugent in charge now and he's getting the full backing from all of us as players.
"We want to go out there and give a good account of ourselves while he's caretaker manager and whoever comes in, comes in.
"It's not up to us to worry about that. It's up to us to produce results on the pitch."