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The Oasis star, who is a dedicated City supporter, described club owner Thaksin Shinawatra's decision to fire Eriksson as "ridiculous".
He also claimed that if he ever met the former England coach he would "give him a big kiss" to thank him for everything he has done for the team.
Gallagher told the BBC: "To get rid of him after the best season I can remember is ridiculous. It can't be for any footballing reasons.
"We've got a manager who's got style. If the owner thought they could come in and qualify for the Champions League straight away then he's tripping.
"Eriksson is a graceful and dignified man. This guy Shinawatra has come in and he seems like a bit of a nutcase."
