Ryan Giggs would have to cast aside differences with the Swansea board if he is to succeed Bob Bradley at the Liberty Stadium.
Giggs has emerged as one of the early favourites to become the next Swansea manager after Bradley's 85-day tenure came to an end on Tuesday evening.
But the former Manchester United assistant manager criticised the Swansea board after he was overlooked for the job in October.
Giggs was confident of landing his first permanent post in management after speaking to club chairman Huw Jenkins, but it was said that an underwhelming interview scuppered the chances of the former Wales captain.
"I met with them a couple of times but in the end there was just mixed messages from the football side and the ownership side of the club," Giggs told ITV after losing out to Bradley.
"I just felt their ambitions did not really match mine, so it didn't quite work out."
Giggs later wrote in his Daily Telegraph column: "I was invited to meet Huw Jenkins and visited him at his house.
"We got on well and after that Huw asked me to meet the club's new majority owners, the American investors Jason Levien and Stephen Kaplan in London.
"I worked with an analyst and put together a presentation on Swansea and the clubs they were facing in the weeks ahead.
"Stephen, Jason and Huw asked to keep the presentation and told me they would be in touch. It was a positive meeting and I felt confident that I could do a good job at Swansea.
"There were certain things that happened after that meeting which suggested to me that Swansea would not be the best fit."
Bradley's 11-game reign came to an end after the 4-1 Boxing Day home defeat to West Ham had supporters calling for the American to be dismissed.
Swansea are keen to make a swift appointment with the club four points from safety in 19th place and the January transfer window set to open in a few days' time.