Reports are suggesting that City boss Roberto Mancini is looking to get his summer transfer business completed as early as possible in order to get his squad finalised well before the return of pre-season training as they look to mount an assault on both the Premier League and Champions League next term.
And it is thought Uruguay international striker, Cavani, who currently leads the Italian Serie A scoring charts with 23 goals, is his main target.
City seem willing to meet Cavani's £55 million release clause, but it looks like Mancini will try and reduce the club's financial outlay by throwing in one of his squad members as a sweetener.
That could see England international defender, Richards, who has only made four appearances this season after suffering countless injuries move in the opposite direction.
Other reports are claiming that Bosnian international striker, Dzeko, could be the man used as a makeweight given that he has always struggled for regular first-team football at the Etihad Stadium even following Mario Balotelli's January departure to AC Milan.
His chances of featuring next season would be greatly reduced if Cavani does move to City so the sensible option would be for him to move to Naples in part-exchange.
City paid Wolfsburg £27 million for Dzeko and want to recoup as much of that fee as possible so could offer him and £30 million to try and tempt Napoli into letting Cavani join them.