Gus Poyet, Ryan Giggs, Dennis Bergkamp and Roberto Di Matteo have all been linked with the job and a quick look at the highlights from this match could easily tempt one of them to South Wales.
The Swans suffered a cruel ending to possibly their toughest week since reaching the Premier League four seasons ago when Yaya Toure’s 90th minute strike deflected into the net.
It snatched an undeserved three points to send City back to the top of the table while the managerless Swans moved perilously closer to the relegation zone.
But there was plenty to suggest that whoever is anointed as Garry Monk’s successor will have a lot to work with.
It was a surprise to see a club, often thought of as one of the best run in the country, press the panic button last week and sack manager Monk, just seven months after guiding Swansea to their highest ever League finish.
And it was equally surprising to see his former players look so vibrant, dominant, and dangerous at the Etihad Stadium.
“We showed that the quality is there,” said caretaker boss Alan Curtis. “We have good players. We were excellent. We talked about it beforehand, how people had written us off.
“We are disappointed to come away empty-handed, but I told the boys that is the standard we need. The season started today and we have to maintain those standards between now and the end of the season.”
Swansea were unfortunate not to be in front when their former striker Wilfried Bony headed the home side into a 26th minute lead.
City’s man of the match Joe Hart made smart saves from Wayne Routledge and Gylffi Sigurdsson before Bony struck.
The Ivorian made the €34m switch last January and is still waiting for his Blues career to take off, but he easily shrugged off former team-mate Ashley Williams to take his opportunity with ease.
His goal should have settled home nerves but Manuel Pellegrini’s side looked fatigued and they were forced further back as the game wore on.
Sigurdsson had a goal chalked off before substitute Bafetembi Gomis finally grabbed an 89th minute equaliser to end an 11-game run without a goal. He easily lost the ineffectual Eliaquim Mangala to smash a powerful strike past Hart.
But there was to be one final twist when Toure — City’s only menacing presence in a largely toothless display — fired a left-foot strike that clipped Kelechi Iheanacho and looped agonisingly over the head of Swans keeper Lukas Fabianski.
Pellegrini admitted his side were fortunate and is now looking forward to a nine-day break without a game after a draining schedule.
“I think that we showed the spirit of this team when we were drawing 1-1,” he said. “We knew we weren’t playing that well but we also knew we had to find another goal and fortunately, we did.
Arsenal are next up for City and they hope to have striker Sergio Aguero back fit but skipper Vincent Kompany is not expected to be recovered in time for the trip to the Emirates.
In the 15 games without him, the Blues have failed to keep a clean sheet so while Pellegrini’s side may be tired, the City boss might be better served calling in his troubled defenders for some overtime on the training pitch.
Hart 8, Sagna 6, Otamendi 6, Mangala 5, Clichy 6, Fernandinho 7, Toure 8, Sterling 6 (Delph 46, 6), Navas 6, Silva 6 (De Bruyne 68, 5), Bony 7 (Iheanacho 84, 6).
Caballero, Kolarov, Roberts, Demichelis.
Fabianski 6, Rangel 7, Fernandez 7, Williams 6, Taylor 6, Cork 7, Britton 7 (Montero 75, 6), Ki 7, Ayew 6 (Gomis 83, 7), Sigurdsson 8, Routledge 7 (Barrow 75, 6).
Nordfeldt, Arnat, Grimes, Naughton.