The Italian insists he is not trying to sign the Dutch star and admits his City squad is worse than Manchester United's after Community Shield defeat at Wembley.
Reports in Italy over the weekend had suggested that City had agreed to a deal worth 36 million euros for the Dutchman, but Mancini says Sneijder is not on his radar.
“No, it's not true," Mancini said. "Sneijder is an Inter player, we haven't talked about him.”
The Italian coach admits he does want to make further additions to his squad after City was beaten 3-2 by bitter rivals Manchester United in the Community Shield on Sunday.
United laid down a marker for the season with a stunning second-half performance having been two down at the break and Mancini admits the Red Devils have the strongest squad in the country. Mancini realizes that his squad still has to get better.
“I think United have the top squad in the Premier League at the moment," he said. "They are better than other teams. We need to improve, we need to complete our team and find our best form.
“I think, for us, it's important to understand why we lost this game. We need to have a strong mentality because if we play against another strong squad in the Premier League or Champions League, we need to continue to play football and not dip like we did in the second half.”