The Netherlands international was linked with United and he admitted after the transfer window had closed that there had been a chance to join Sir Alex Ferguson's side.
However, Moratti is happy the club were able to hang onto their man despite strong interest from the Premier League.
"We wanted that [Sneijder to stay] because he is a top-class player," Moratti told reporters in Milan.
"He is surely very sought-after, but every time he saw reports in the papers he told me he wanted to stay at Inter.
"He behaved very well and the team is more confident with him in it."
Inter also secured the services of Lazio's Mauro Zarate on loan for the season.
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