The Brazilian's side were well beaten by England recently in a World Cup qualifier, just days after they were thrashed 8-0 by Poland, so he could be ready to call time on his stint in Eastern Europe.
And the former World Cup-winning captain was certainly in the spotlight while in England, calling Michael Owen "a midget" after the game (for which he later apologised).
Online bookmakers bet365 have since received a number of requests for him to be the next City boss, although caretaker manager Stuart Pearce and Gordon Strachan remain favourites.
bet365 spokesman Steve Freeth said: "We received a number of calls before the England game for Alberto to take over from Pearce and the 33/1 was eagerly gobbled up by a number of punters.
“Maybe he was seen speaking to Man City officials before the game because I wouldn’t have had him down for the job in a million years."
Next Permanent Man City Manager
Stuart Pearce, Gordon Strachan 3
Iain Dowie 9/2
Martin O’Neill 6
Carlos Alberto 7
Alan Curbishley, Paul Jewell 8
Sam Allardyce 10
Ronald Koeman 16
Paul Le Guen 25
Neil Warnock 40
Others on request