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.
Manchester United's assistant manager, Ryan Giggs, has collated a lifetime of sporting memorabilia for a new exhibition in his honour.
The tribute to the most successful player in English football history is on show at the Man United museum inside Old Trafford.
Giggs has given Chris Hall a personal tour.
Ryan Giggs insists Manchester United will never abandon their traditions or their youth policy.
The former player - one of the United's greatest youth products - also hopes to manage the club again in the future.
Giggs had a spell as interim manager at the end of last season and, after retiring as a player, remains at Old Trafford as assistant to new boss Louis van Gaal.
Van Gaal's arrival over the summer coincided with the spending of £150million on new players.
With Academy graduate Danny Welbeck also being sold to Arsenal, there are fears priorities could be changing at a club with a proud record in youth development.
Giggs, speaking at the Soccerex Global Convention in Manchester, said: "The club will never change. The history of the club is to play exciting football, always give youngsters a chance, keep to the traditions of the club.
"Okay Danny has left, which is obviously disappointing because you never want to see a homegrown player leave but this is a manager who gave (Clarence) Seedorf his chance, (Patrick) Kluivert his chance, (Andres) Iniesta his chance, Xavi, Thomas Muller - he has got a track record of giving young players a chance."
Ryan Giggs has won plenty of accolades in the world of football.
Today he's getting an award from academia.
Giggs retired at the end of last season to become part of the new management team at Old Trafford.
Today he'll receive an honorary doctorate from the University of Bolton for his contribution to sport.
Ryan Giggs talks about how he felt playing for the final time at Old Trafford for a documentary tonight on ITV.
He talks about his special relationship with Manchester United over many years.
Life of Ryan: Caretaker Manager, on at 9pm on ITV.
Eric Cantona likens Ryan Giggs to the best Tour de France cyclist in a documentary tonight.
He praises his ability to tackle sprints and mountains with equal ease.
Life of Ryan: Caretaker Manager ITV 9pm
Diego Maradona is one of a number of football stars who talks about what makes Ryan Giggs so special in a documentary being screened tonight.
The programme looks at Giggs' bond with Manchester United and Old Trafford and his role at the end of last season.
Life of Ryan:Caretaker Manager 9pm ITV.
A new hotel venture headed up by former teammates Gary Neville and Ryan Giggs is heading for completion. The 133 bedroom hotel is directly opposite Old Trafford and will feature a five-a-side rooftop pitch. This video captures the Class of 92 having a kick-about with their builders on the roof!
ITV Granada Reports viewers have been getting in touch with us with their reaction to the news Ryan Giggs is retiring as a professional footballer.
Here is just a selection of your comments:
Dedication to one club priceless
A United legend...a truly talented player who will go down as one of united's best ever!
Speaking as a Tottenham fan, I think it can be safely said that Giggsy has been the best player of the last twenty years. My abiding memory of him-and this will no doubt be agreed on by United fans-was when he took on the fabled back four of Arsenal in that semi final at Villa Park in 1999.