Reports had suggested that Man City would sign Petrov in an exchange for Barton.
However, Lawwell (chief executive)said: ‘Accusations we have contacted Manchester City offering Stilian are completely false.
‘We wish Stilian to remain at the club and this story is totally inaccurate.’
Strachan added: ‘This is total fabrication. People are just guessing. If they are going to try and guess, they should at least try to be realistic.’